About us > Staff/People > Department of Algebra, topology and fundamentals of mathematics

Oleg Gutik

Position: Docent, Algebra, topology and fundamentals of mathematics Department

Scientific degree: Candidate of Physical and Mathematical Sciences

Academic status: Senior Researcher, Associate Professor

Email: oleg.gutik@lnu.edu.ua

Google Scholar profile: scholar.google.com.ua

ORCID profile: orcid.org

Scopus profile: www.scopus.com

Web of Science (Publons) profile: www.researcherid.com

ResearchGate profile: www.researchgate.net

Research interests

Semigroups, Topological Semigroups, POSpaces

Publications

List of Publications

 Books and Lecture Notes

  1. I. I. Guran, and O. V. Gutik, Mathematics for Economists. For Students of Departments of International Relations. Lecture Notes. Znannya, Kyiv, 2008, 388 pp. (in Ukrainian).

 

Scientific Papers

1994:

    1. O. V. Gutik, Embedding of topological semigroups into simple semigroups, Mat. Stud. 3 (1994),10-14, (in Russian) (MR 1692849 (2000m:22006), Zbl 0928.22004).

1996:

    1. O. V. Gutik, Any topological semigroup topologically isomorphically embeds into a simple path-connected topological semigroup, Algebra and Topology, Lviv Univ. Press (1996), 65-73, (in Ukrainian).
    2. O. V. Gutik, On the structure of the band of a compact inverse semigroup with open translations, Mat. Stud. 6 (1996), 33-38, (in Russian) (MR 1691120 (2000a:22003), Zbl 0928.22005).
    3. O. V. Gutik, Embeddings of Topological Inverse Semigroups and the Structure of their Bands with Restrictions on Translations, Dissertation, Lviv State Univ. (1996) 96pp.

1997:

    1. O. V. Gutik, On a coarsening of a direct sum topology on the Bruck semigroup, Visn. L’viv. Univ., Ser. Mekh.-Mat. 47 (1997), 17-21, (in Ukrainian).

1998:

    1. O. V. Gutik, Embedding of countable topological semigroups into simple countable connected topolological semigroups, Mat. Metody Fiz.-Mekh. Polya 41 (1998), no. 3, 16-21 (in Ukrainian). English Version in: J. Math. Sci. 104 (2001), no. 5, 1422-1427 (doi: 10.1023/A:1011311030702, MR 1706772 (2000e:22002), Zbl 0933.22004).

1999:

    1. O. V. Gutik, On compact semilattices with open principal filters, Mat. Metody Fiz.-Mekh. Polya 42 (1999), no. 3, 91-94, (in Ukrainian) (MR 1977866 (2004c:06009), Zbl 1050.54519).
    2. O. V. Gutik, On Howie semigroup, Mat. Metody Fiz.-Mekh. Polya 42 (1999), no. 4, 127-132, (in Ukrainian) (MR 1967818, Zbl 1047.22500).

2000:

    1. O. V. Gutik, Ye. G. Zelenyuk, On non-proper homomorphisms of the semigroups of ultrafiltres, Mat. Metody Fiz.-Mekh. Polya 43 (2000), no. 1, 19-22, (in Ukrainian) (MR 1972601 (2004b:22006), Zbl 1054.22002).
    2. O. Gutik, Compact topological inverse semigroups, Semigroup Forum 60 (2000), no. 2, 243-252 (doi: 10.1007/s002339910017, MR 1830131 (2002e:22004), Zbl 0945.22002).
    3. O. V. Gutik, On homomorphisms of topological inverse semigroups, Mat. Metody Fiz.-Mekh. Polya 43 (2000), no. 2, 75-82, (in Ukrainian) (MR 1977836 (2004a:22001), Zbl 1052.54512).

2001:

    1. O. V. Gutik, and K. P. Pavlyk, The H-closedness of topological inverse semigroups and topological Brandt λ-extensions, XVI Open Scientific and Technical Conference of Young Scientists of the Karpenko Physico-Mechanical Institute of NASU. May 17-18, 2001. Lviv, Ukraine. Proceedings. (2001), 240-243.
    2. O. V. Gutik, and K. P. Pavlyk, Minimal topologies on semigroups of matrix units, International Scientific and Technical Conference “Information of processes of formation of open systems on basis DBMS, design computer-aided …”. June 26-28, 2001. Vologda, Russia. Proceedings. (2001), 301-305.
    3. T. O. Banakh, I. Yo. Guran, and O. V. Gutik, Free topological inverse semigroups, Mat. Stud.15 (2001), no. 1, 23-43 (MR 1871924 (2003e:20072), Zbl 0990.22001).
    4. O. V. Gutik, and K. P. Pavlyk, H-closed topological semigroups and topological Brandt λ-extensions, Mat. Metody Fiz.-Mekh. Polya 44 (2001), no. 3, 20-28, (in Ukrainian) (MR 1967909 (2004a:22002), Zbl 1098.22500).

2002:

    1. O. V. Gutik, M. Radjagopalan, and K. Sundaresan, Compact semilattices with open principal filters, J. Austral. Math. Soc. 72, №3 (2002), 349-362 (doi: 10.1017/S1446788700036776, MR 1902205 (2003f:22005), Zbl 1024.22001).
    2. O. V. Gutik, and K. P. Pavlyk, Embedding of topological semigroups, Mat. Metody Fiz.-Mekh. Polya 45 (2002), no. 1, 90-96, (in Ukrainian) (MR 1967652 (2003m:22005), Zbl 1073.54017).
    3. I. Yo. Guran, and O. V. Gutik, The bicyclic semigroup and countably compact topological inverse semigroups, XVII Open Scientific and Technical Conference of Young Scientists of the Karpenko Physic and Mechanics Institute of NASU. May 15-17, 2002. Lviv, Ukraine. Proceedings. (2002), 149-152.
    4. T. O, Banach, and O. V. Gutik, On a counterpart of Franklin Theorem for topological semigroups, XVII Open Scientific and Technical Conference of Young Scientists of the Karpenko Physico-Mechanical Institute of NASU. May 15-17, 2002. Lviv, Ukraine. Proceedings. (2002), 153-155.

2003:

    1. O. Gutik, and K. Pavlyk, Topological Brandt λ-extensions of absolutely H-closed topological inverse semigroups, Visn. L’viv. Univ., Ser. Mekh.-Mat. 61 (2003), 98-105 (Zbl 1034.22003).
    2. O. V. Gutik, and O. Ye. Lebidko, On semigroup of compact subsets of a paratopological group, Applied Problems of Mech. and Math. 1 (2003), 20-24.

2004:

    1. O. V. Gutik, and K. P. Pavlyk, On 0-simple initially τ-compact topological inverse semigroups, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics, Lviv, May 24-26, 2004. Proceedings, Lviv (2004) 179-181.
    2. T. O. Banakh, and O. V. Gutik, On the continuity of inversion in countably compact inverse topological semigroups, Semigroup Forum 68 (2004), no. 3, 411-418 (doi: 10.1007/s00233-003-0023-y, MR 2050899 (2005c:22005), Zbl 1052.22003).

2005:

    1. O. V. Gutik, and K. P. Pavlyk, Topological semigroups of matrix units, Algebra Discr. Math. no. 3 (2005), 1-17 (MR 2237891 (2007e:20125), Zbl 1092.22002).
    2. T. Banakh, O. V. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, Topology Appl., 153 (2005), no. 5-6, 710-723 (doi: 10.1016/j.topol.2005.01.004, MR 2201483 (2006k:54048), Zbl 1087.22003).
    3. O. V. Gutik, Yu. M. Livach, Embediins of topological semigroups into nilpotent-generated semigroups, Mat. Metody Fiz.-Mekh. Polya 48 (2005), no. 4, 66-77 (in Ukrainian), (MR 2229292 (2007b:20122), Zbl 1110.20045).
    4. O. V. Gutik, and K. P. Pavlyk, On topological semigroups of matrix units, Semigroup Forum 71 (2005), no. 3, 389-400 (doi: 10.1007/s00233-005-0530-0, MR 2204758 (2006m:22003), Zbl 1092.22003).

2006:

    1. O. V. Gutik, and K. P. Pavlyk, On Brandt λ0-extensions of semigroups with zero, Mat. Metody Fiz.-Mekh. Polya 49 (2006), no. 3, 26-40 (MR 2255060 (2007i:22005), Zbl 1126.22301).

2007:

    1. I. Chuchman, and O. Gutik, On H-closed topological semigroups and semilattices, Algebra Discr. Math. (2007), no. 1, 13-23 (MR2367511 (2008j:22003), Zbl 1164.06332).
    2. O. Gutik, and D. Repovš, On 0-simple countably compact topological inverse semigroups, Semigroup Forum 75 (2007), no. 2, 464-469 (doi: 10.1007/s00233-007-0706-x, MR2350768 (2008g:22001), Zbl 1140.22001, arXiv:0804.1437).

2008:

    1. O. Gutik, and D. Repovš, On linearly ordered H-closed topological semilattices, Semigroup Forum 77 (2008), no. 3, 474-481 (doi: 10.1007/s00233-008-9102-4, MR2457332 (2009i:54063), Zbl 1166.22003, arXiv:0804.1438).

2009:

    1. O. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, Semigroup Forum 78 (2009), no. 2, 326-336 (doi: 10.1007/s00233-008-9112-2, MR2486644 (2010f:20066), Zbl 1165.22002, arXiv:0804.1439).
    2. T. Banakh, S. Dimitrova, and O. Gutik, The Rees-Suschkewitsch Theorem for simple topological semigroups, Mat. Stud. 31 (2009), no. 2, 211-218 (MR2643478 (2011c:22003), Zbl 1199.22004, arXiv:0811.1371).
    3. O. Gutik, D. Pagon, and D. Repovš, The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups, Acta Math. Hungar. 124 (2009), no. 3, 201-214 (doi: 10.1007/s10474-009-8144-8, MR2525561 (2010d:22002), Zbl 1199.22001, arXiv:0807.3102).
    4. O. Gutik, K. Pavlyk, and A. Reiter, Topological semigroups of matrix units and countably compact Brandt λ0-extensions, Mat. Stud. 32 (2009), no. 2, 115-131 (MR2643488 (2011b:22002), Zbl 1224.22004, arXiv:0912.0051).
    5. O. V. Gutik, and A. R. Reiter, Symmetric inverse topological semigroups of finite rank ≤ n, Mat. Metody Fiz.-Mekh. Polya 52 (2009), no. 3, 7-14; reprinted version: J. Math. Sci. 171 (2010), no. 4, 425-432 (doi: 10.1007/s10958-010-0147-z, MR2676357 (2011e:22002), Zbl 1212.22003, arXiv:0912.0198).
    6. O. V. Gutik, and K. P. Pavlyk, Bruck-Reilly extension of a semitopological semigroups, Applied Problems of Mech. and Math. 7 (2009), 66-72.

2010:

    1. O. Gutik, and D. Repovš, On Brandt λ0-extensions of monoids with zero, Semigroup Forum 80 (2010), no. 1, 8-32 (doi: 10.1007/s00233-009-9191-8, MR2580607 (2011g:22007), Zbl 1201.20057, arXiv:0910.0535).
    2. O. Gutik, D. Pagon, and D. Repovš, On chains in H-closed topological pospaces, Order 27 (2010), no. 1, 69-81 (doi: 10.1007/s11083-010-9140-x, MR2601156 (2011a:54037), Zbl 1221.06021, arXiv:0804.1449).
    3. T. Berezovski, O. Gutik, and K. Pavlyk, Brandt extensions and primitive topological inverse semigroups, Int. J. Math. Math. Sci. 2010 (2010) Article ID 671401, 13 pages, (doi: 10.1155/2010/671401, MR2600883 (2011d:22002), Zbl 1225.22005, arXiv:1005.4111).
    4. T. Banakh, S. Dimitrova, and O. Gutik, Embedding the bicyclic semigroup into countably compact topological semigroups, Topology Appl. 157 (2010), no. 18, 2803-2814 (doi: 10.1016/j.topol.2010.08.020, MR2729339 (2012a:54028), Zbl 1217.22001, arXiv:0811.4276).
    5. I. Chuchman, and O. Gutik, Topological monoids of almost monotone, injective co-finite partial selfmaps of positive integers, Carpathian Math. Publ. 2 (2010), no. 1, 119-132 (Zbl 1404.22005, arXiv:1006.4873).
    6. O. Gutik, and A. Reiter, On semitopological symmetric inverse semigroups of a bounded finite rank, Visn. L’viv. Univ., Ser. Mekh.-Mat. 72 (2010), 94-106 (in Ukrainian) (Zbl 1240.22003).

2011:

    1. O. V. Gutik, K. P. Pavlyk, and A. R. Reiter, On topological Brandt semigroups, Mat. Metody Fiz.-Mekh. Polya 54 (2011), no. 2, 7-16 (in Ukrainian); English version in: J. Math. Sci. 184 (2012), no. 1, 1-11 (doi: 10.1007/s10958-012-0847-7, MR2893525 (2012m:22002), Zbl 1274.22003).
    2. O. Gutik, and D. Repovš, Topological monoids of monotone injective partial selfmaps of ℕ with cofinite domain and image, Stud. Sci. Math. Hung. 48 (2011), no. 3, 342-353 (doi: 10.1556/SScMath.48.2011.3.1176, MR2883245, Zbl 1265.22002, arXiv:1108.2848).
    3. I. Chuchman, and O. Gutik, On monoids of injective partial selfmaps almost everywhere the identity, Demonstr. Math. 44 (2011), no. 4, 699-722 (doi: 10.1515/dema-2013-0340, MR2906425 (2012k:22002), Zbl 1252.22002, arXiv:1009.1338).
    4. O. Gutik, D. Pagon, and K. Pavlyk, Congruences on bicyclic extensions of a linearly ordered group, Acta Comment. Univ. Tartu. Math. 15 (2011), no. 2, 61-80 (doi: 10.12697/ACUTM.2011.15.10 , MR2961689, Zbl 1257.20059, arXiv:1111.2401).
    5. I. Guran, O. Gutik, O. Ravsky, and I. Chuchman, On symmetric topological semigroups and groups, Visn. L’viv. Univ., Ser. Mekh.-Mat. 74 (2011), 61-73 (in Ukrainian) (Zbl 1249.22002).
    6. I. Fihel, and O. Gutik, On the closure of the extended bicyclic semigroup, Carpathian Math. Publ. 3 (2011), no. 2, 131-157 (Zbl 1404.22006, arXiv:1201.0090).
    7. O. Gutik, and I. Figel’, Embedding topological semigroups into idempotent generated topological semigroups, Visn. L’viv. Univ., Ser. Mekh.-Mat. 75 (2011), 106-114 (in Ukrainian) (Zbl 1265.22001).

2012:

    1. T. Banakh, O. Gutik, O. Potiatynnyk, and A. Ravsky, Metrizability of Clifford topological semigroups, Semigroup Forum 84 (2012), no. 2, 301-307 (doi: 10.1007/s00233-011-9341-7, MR2898762, Zbl 1250.22002, arXiv:1105.2806).
    2. O. Gutik, and D. Repovš, On monoids of injective partial selfmaps of integers with cofinite domains and images, Georgian Math. J. 19 (2012), no. 3, 511-532 (doi: 10.1515/gmj-2012-0022, MR2984503, Zbl 1256.22001, arXiv:1209.0587).
    3. S. Bardyla, and O. Gutik, On ℋ-complete topological semilattices, Mat. Stud. 38 (2012), no. 2, 118-123 (MR3057997, Zbl 1309.22003, arXiv:1301.1152).
    4. I. Fihel, O. Gutik, and K. Pavlyk, On a topological simple Warne extension of a semigroup, Acta Comment. Univ. Tartu. Math. 16 (2012), no. 2, 201-225 (MR3007298, Zbl 1295.22005, arXiv:1301.1232).

2013:

    1. O. V. Gutik, and K. P. Pavlyk, Pseudocompact primitive topological inverse semigroups, Mat. Metody Fiz.-Mekh. Polya 56 (2013), no. 2, 7-19; reprinted version: J. Math. Sci. 203 (2014), no. 1, 1-15 (doi: 10.1007/s10958-014-2087-5, MR3155884, Zbl 1313.18002, arXiv:1306.2612).
    2. O. Gutik, and K. Pavlyk, On pseudocompact topological Brandt λ0-extensions of semitopological monoids, Topol. Algebra Appl. 1 (2013), 60-79 (doi: 10.2478/taa-2013-0007, Zbl 1291.22003, arXiv:1306.1935).

2014:

    1. O. Gutik, and I. Pozdnyakova, On monoids of monotone injective partial selfmaps of Ln×lexℤ with cofinite domains and images, Algebra Discr. Math. 17 (2014), no. 2, 256–279 (MR3287933, Zbl 1327.22003, arXiv:1311.6175).
    2. O. Gutik, On closures in semitopological inverse semigroups with continuous inversion, Algebra Discr. Math. 18 (2014), no. 1, 59–85 (MR3280257, Zbl 1315.22004, arXiv:1410.1344).
    3. O. V. Gutik, and I. V. Pozdniakova, Congruences on the monoid of monotone injective partial selfmaps of Ln×lexℤ with co-finite domains and images, Mat. Metody Fiz.-Mekh. Polya 57 (2014), no. 3, 7-15; reprinted version: J. Math. Sci. 217 (2016), no. 2, 139-148 (doi: 10.1007/s10958-016-2962-3, MR3379583, MR3532451, Zbl 1342.20058, arXiv:1407.6892).

2015:

    1. O. Gutik, and O. Ravsky, On feebly compact inverse primitive (semi)topological semigroups, Mat. Stud. 44 (2015), no.1, 3-26 (MR3494696, Zbl 1356.22002, arXiv:1310.4313).
    2. O. Gutik, and D. Repovš, On monoids of injective partial cofinite selfmaps, Math. Slovaca 65 (2015), no. 5, 981-992 (doi: 10.1515/ms-2015-0067, MR3433049, Zbl 1363.20058, arXiv:1512.03779).
    3. O. V. Gutik, and O. V. Ravsky, Pseudocompactness, products and Brandt λ0-extensions of semitopological monoids, Mat. Metody Fiz.-Mekh. Polya 58 (2015), no. 2, 20-37; reprinted version: J. Math. Sci. 223 (2017), no. 1, 18-38 (doi: 10.1007/s10958-017-3335-2, MR3640275, Zbl 1349.22003, arXiv:1510.05096).
    4. O. Gutik, On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero, Visn. L’viv. Univ., Ser. Mekh.-Mat. 80 (2015), 33-41 (arXiv:1509.02148).
    5. O. Gutik, and K. Mel’nyk, The semigroup of monotone co-finite partial homeomorphisms of the real line, Mathematical Bulletin of the Shevchenko Scientific Society 12 (2015), 24-40 (in Ukrainian) (arXiv:1904.06647, Zbl 1363.20057).

2016:

    1. S. Bardyla, and O. Gutik, On a semitopological polycyclic monoid, Algebra Discr. Math. 21 (2016), no. 2, 163-183 (arXiv:1601.01151, MR3537444, Zbl 1359.22003).
    2. O. Gutik, On the group of automorphisms of the Brandt λ0-extension of a monoid with zero, Proceedings of the 16th ITAT Conference Information Technologies – Applications and Theory (ITAT 2016), Tatranske Matliare, Slovakia, September 15-19, 2016. CEUR-WS, Bratislava, 2016, p. 237-240 (arXiv:1609.06085).
    3. S. Bardyla, and O. Gutik, On a complete topological inverse polycyclic monoid, Carpathian Math. Publ. 8 (2016), no. 2, 183-194 (doi: 10.15330/cmp.8.2.183-194, arXiv:1603.08147, MR3599777, Zbl 1359.22002).
    4. O. Gutik, Topological properties of Taimanov semigroups, Mathematical Bulletin of the Shevchenko Scientific Society 13 (2016), 29-34 (arXiv:1612.08677, Zbl 1374.22002).
    5. O. Gutik, and I. Pozdniakova, On the monoid of monotone injective partial selfmaps of ℕ2≤ with co-finite domains and images, Visn. L’viv. Univ., Ser. Mekh.-Mat. 81 (2016), 100-116 (arXiv:1602.06593).
    6. O. Gutik, and O. Sobol, On feebly compact topologies on the semilattice expnλ, Mat. Stud. 46 (2016), no. 1, 29-43 (doi: 10.15330/ms.46.1.29-43, MR3649046, Zbl 1377.22003, arXiv:1606.00395).
    7. O. Gutik, and K. Maksymyk, On semitopological interassociates of the bicyclic monoid, Visn. L’viv. Univ., Ser. Mekh.-Mat. 82 (2016), 98-108 (arXiv:1609.07768).
    8. O. Gutik, and I. Pozdniakova, On the monoid of monotone injective partial selfmaps of ℕ2≤ with co-finite domains and images, II, Visn. L’viv. Univ., Ser. Mekh.-Mat. 82 (2016), 109-127 (arXiv:1701.08015).
    9. O. Gutik, and O. Sobol, On feebly compact shift-continuous topologies on the semilattice expnλ, Visn. L’viv. Univ., Ser. Mekh.-Mat. 82 (2016), 128-136 (arXiv:1702.06105).
    10. O. Gutik, and K. Maksymyk, On semitopological bicyclic extensions of linearly ordered groups, Mat. Metody Fiz.-Mekh. Polya 59 (2016), no. 4, 31-43; reprinted version: J. Math. Sci. 238 (2019), no. 1, 32-45 (doi: 10.1007/s10958-019-04216-x, MR3924887, Zbl 1399.22007, arXiv:1608.00959).

2017:

    1. S. Bardyla, O. Gutik, and A. Ravsky, H-closed quasitopological groups, Topology Appl. 217 (2017), 51-58 (doi: 10.1016/j.topol.2016.12.003, MR3591199, Zbl 1354.22002, arXiv:1506.08320).
    2. O. Gutik, and A. Savchuk, On the semigroup ID∞, Visn. L’viv. Univ., Ser. Mekh.-Mat. 83 (2017), 5-19 (in Ukrainian) (arXiv:1904.06644).
    3. O. Gutik, On feebly compact semitopological symmetric inverse semigroups of a bounded finite rank, Visn. L’viv. Univ., Ser. Mekh.-Mat. 83 (2017), 42-57 (arXiv:1708.02064).
    4. O. Gutik, and K. Maksymyk, On variants of the bicyclic extended semigroup, Visn. L’viv. Univ., Ser. Mekh.-Mat. 84 (2017), 22-37 (arXiv:1805.04995).

2018:

    1. O. Gutik, On locally compact semitopological 0-bisimple inverse ω-semigroups, Topol. Algebra Appl. 6 (2018), 77-101 (doi: 10.1515/taa-2018-0008, MR3794938, Zbl 1421.22001, arXiv:1703.01434).
    2. O. Gutik, and A. Savchuk, The semigroup of partial co-finite isometries of positive integers, Bukovyn. Mat. Zh. 6 (2018), no.1-2, 42-51 (in Ukrainian) (doi:10.31861/bmj2018.01.042, Zbl 1424.22002, arXiv:1904.06638).
    3. O. Gutik, and A. Ravsky, On old and new classes of feebly compact spaces, Visn. L’viv. Univ., Ser. Mekh.-Mat. 85 (2018), 48-59 (arXiv:1804.07454).
    4. O. Gutik, and K. Melnyk, The semigroup of star partial homeomorphisms of a finite dimensional Euclidean space, Visn. L’viv. Univ., Ser. Mekh.-Mat. 86 (2018), 91-102 (in Ukrainian) (doi: 10.30970/vmm.2018.86.091-102, arXiv:1905.10736).
    5. O. V. Gutik, and O. Yu. Sobol, On feebly compact semitopological semilattice expnλ, Mat. Metody Fiz.-Mekh. Polya 61 (2018), no. 3, 16-23; reprinted version: Journal of Mathematical Sciences 254 (2021), no. 1, 13-20 (doi: 10.1007/s10958-021-05284-8, MR4229020, Zbl 1438.20073, arXiv:1804.08239).

2019:

    1. O. Gutik, and O. Sobol, Extensions of semigroups by symmetric inverse semigroups of a bounded finite rank, Visn. L’viv. Univ., Ser. Mekh.-Mat. 87 (2019), 5-36 (doi: 10.30970/vmm.2019.87.005-036, arXiv:1906.08329).
    2. O. Gutik, and A. Savchuk, On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers, Carpathian Math. Publ. 11 (2019), no. 2, 296-310 (doi: 10.15330/cmp.11.2.296-310, MR4049629, Zbl 1474.20121, arXiv:1904.11802).
    3. O. Gutik, and A. Savchuk, On the monoid of cofinite partial isometries of ℕn with the usual metric, Proc. Int. Geom. Cent. 12 (2019), no. 3, 51-68 (doi: 10.15673/tmgc.v12i3.1553, MR4053279, Zbl 1452.20058, arXiv:1909.08823).
    4. O. Gutik, and K. Maksymyk, On a semitopological extended bicyclic semigroup with adjoined zero, Mat. Metody Fiz.-Mekh. Polya 62 (2019), no. 4, 28-38 (MR4478535, Zbl 1488.22002, arXiv:1911.05977).
    5. O. Gutik, and O. Krokhmalna, The monoid of monotone injective partial selfmaps of the poset (ℕ3,≤) with cofinite domains and images, Visn. L’viv. Univ., Ser. Mekh.-Mat. 88 (2019), 32-50 (doi: 10.30970/vmm.2019.88.032-050, arXiv:2006.04481).

2020:

    1. O. Gutik, and T. Mokrytskyi, The monoid of order isomorphisms between principal filters of ℕn, Eur. J. Math. 6 (2020), no. 1, 14-36 (https://doi.org/10.1007/s40879-019-00328-5, MR4071454, arXiv:1802.03598).
    2. T. Banakh, S. Bardyla, I. Guran, O. Gutik, and A. Ravsky, Positive answers for Koch’s problem in special cases, Topol. Algebra Appl. 8 (2020), no. 1, 76-87 (https://doi.org/10.1515/taa-2020-0007, Zbl 1441.22003, MR4083576, arXiv:1902.08895).
    3. S. Bardyla, and O. Gutik, On the lattice of weak topologies on the bicyclic monoid with adjoined zero, Algebra Discr. Math. 30 (2020), no. 1, 26–43 (http://dx.doi.org/10.12958/adm1459, MR4195403, arXiv:1908.04566).
    4. O. Gutik, and A. Savchuk, On the monoid of cofinite partial isometries of ℕ with the usual metric, Visn. L’viv. Univ., Ser. Mekh.-Mat. 89 (2020) 17-30 (doi: 10.30970/vmm.2020.89.017-030, Zbl 1474.20127, arXiv:2008.03159).
    5. O. Gutik, and M. Mykhalenych, On some generalization of the bicyclic monoid, Visn. L’viv. Univ., Ser. Mekh.-Mat. 90 (2020), 5-19 (doi: 10.30970/vmm.2020.90.005-019, arXiv:2107.14118) (in Ukrainian).
    6. O. Gutik, and P. Khylynskyi, Polycyclic extensions of semigroups, Visn. L’viv. Univ., Ser. Mekh.-Mat. 90 (2020), 20-47 (doi: 10.30970/vmm.2020.90.020-047, arXiv:2107.14408) (in Ukrainian).

2021:

    1. T. Banakh, S. Bardyla, and O. Gutik, The Lawson number of a semitopological semilattice, Semigroup Forum 103 (2021), no. 1, 24–37 (https://doi.org/10.1007/s00233-021-10184-z, MR4276603, arXiv:1910.00436).
    2. O. Gutik, and P. Khylynskyi, On the monoid of cofinite partial isometries of ℕ with a bounded finite noise, Proceedings of the Contemporary Mathematics in Kielce 2020, ed. Szymon Walczak. Jan Kochanowski University in Kielce, Poland. February 24-27, 2021. Sciendo, De Gruyter Poland Sp. z o.o. Warsaw, Poland, 2021, P. 127-144 (https://doi.org/10.2478/9788366675360-010, arXiv:2104.14149).
    3. O. V. Gutik, and I. V. Pozdniakova, On the semigroup generating by extended bicyclic semigroup and an ω-closed family, Mat. Metody Fiz.-Mekh. Polya 64 (2021), no. 1, 21-34 (arXiv:2107.14075) (in Ukrainian).
    4. O. Gutik, and M. Mykhalenych, On group congruences on the semigroup Ɓωℱ and its homomorphic retracts in the case when a family ℱ consists of inductive non-empty subsets of ω, Visn. L’viv. Univ., Ser. Mekh.-Mat. 91 (2021), 5-27 (arXiv:2108.09543) (in Ukrainian).
    5. O. Gutik, A note on feebly compact semitopological symmetric inverse semigroups of a bounded finite rank, Visn. L’viv. Univ., Ser. Mekh.-Mat. 91 (2021), 40-53 (arXiv:2202.08308).
    6. O. Gutik, O. Prokhorenkova, and D. Sekh, On endomorphisms of the bicyclic semigroup and the extended bicyclic semigroup, Visn. L’viv. Univ., Ser. Mekh.-Mat. 92 (2021), 5-16 (arXiv:2202.00073) (in Ukrainian).
    7. O. Gutik, and O. Lysetska, On the semigroup Ɓωℱ which is generated by the family ℱ of atomic subsets of ω, Visn. L’viv. Univ., Ser. Mekh.-Mat. 92 (2021), 34-50 (arXiv:2108.11354).

2022:

    1. O. Gutik, and P. Khylynskyi, On a locally compact submonoid of the monoid cofinite partial isometries of ℕ with adjoined zero, Topol. Algebra Appl. 10 (2022), no. 1, 233-245 (https://doi.org/10.1515/taa-2022-0130, arXiv:2112.15000).
    2. O. Gutik, and O. Popadiuk, On the semigroup of injective endomorphisms of the semigroup Ɓωℱn which is generated by the family ℱn of finite bounded intervals of ω, Mat. Metody Fiz.-Mekh. Polya 65 (2022), no. 1-2, 42-57 (arXiv:2209.08377).
    3. O. Gutik, O. Prokhorenkova, On homomorphisms of bicyclic extensions of archimedean totally ordered groups, Visn. L’viv. Univ., Ser. Mekh.-Mat. 93 (2022), 42-53 (in Ukrainian) (arXiv:2306.01294).
    4. O. Gutik, M. Mykhalenych, On automorphisms od the semigroup Ɓωℱ in the case when the family ℱ consists of nonempty inductive subsets of ω, Visn. L’viv. Univ., Ser. Mekh.-Mat. 93 (2022), 54-65 (in Ukrainian) (arXiv:2306.07844).
    5. O. Gutik, and I. Pozdniakova, On the semigroup of injective monoid endomorphisms of the monoid Ɓωℱ with the two-elements family ℱ of inductive nonempty subsets of ω, Visn. L’viv. Univ., Ser. Mekh.-Mat. 94 (2022), 32-55 (arXiv:2307.15481).
    6. M. Cencelj, O. Gutik, and D. Repovš, On some generalization of the bicyclic semigroup: the topological version, Visn. L’viv. Univ., Ser. Mekh.-Mat. 94 (2022), 56-71.

2023:

    1. O. Gutik, and M. Mykhalenych, On a semitopological semigroup Ɓωℱ when a family ℱ consists of inductive non-empty subsets of ω, Mat. Stud. 59 (2023), no. 1, 20-28 (https://doi.org/10.30970/ms.59.1.20-28, arXiv:2212.05522).
    2. O. Gutik, and I. Pozdniakova, On the group of automorphisms of the semigroup Ɓℤℱ with the family ℱ of inductive nonempty subsets of ω, Algebra Discrete Math. 35 (2023), no. 1, 42-61 (https://doi.org/10.12958/adm2010, arXiv:2206.12819).
    3. O. Gutik, and O. Popadiuk, On the semigroup Ɓωℱn which is generated by the family ℱn of finite bounded intervals of ω, Carpatian Math. Publ. 15 (2023), no. 2, 331-355 (https://doi.org/10.15330/cmp.15.2.331-355, arXiv:2208.09155).

    • Papers in Press or in Preparation

      1. O. Gutik, and I. Pozdniakova, On the semigroup of monoid endomorphisms of the monoid Ɓωℱ with the two-elements family ℱ of inductive nonempty subsets of ω, Preprint (in preparation).

       

      Unpublished preprint

          1. M. Cencelj, O. Gutik, and D. Repovš, On some generalization of the bicyclic semigroup: the topological version, Preprint.
          2. M. Cencelj, O. Gutik, and D. Repovš, On ℋ-closed pospaces with compact maximal anti-chains, Preprint.
          3. O. Gutik, and K. Mel’nyk, Congruences on the semigroup of monotone co-finite partial homeomorphisms of the real line, Preprint (in Ukrainian).
          4. O. Gutik, and D. Repovš, On embedding of topological semigroups into countably compact topological semigroups, Preprint.

       

      Abstracts of Conference Reports

          1. O. V. Gutik, On embeddings of topological semigroups into simple semigroups, V Accounting Conference of Ukrainian Academy of Printing, Lviv, January 3-5, 1995. Abstracts of Reports. Lviv, Ukrainian Academy of Printing, 1995, P. 122 (in Ukrainian).
          2. O. V. Gutik, On an embedding of a topological semigroup into a path-connected topological semigroup, IV International Scientific Conference in Honor of Academician M. Kravchuk. Abstracts of Reports. Kyiv, 1995, P. 83 (in Russian).
          3. O. V. Gutik, On analoques of Ponomarev Theorem and Franklin Theorwm in the category of topological semigroups, V International Scientific Conference in Honor of Academician M. Kravchuk. Abstracts of Reports. Kyiv, 1996, P. 112 (in Russian).
          4. O. V. Gutik, On topological inverse semigroups with restrictions on translations , International Algebraic Conference Dedicated to the Memory of Professor L. M. Gluskin. Slovyansk, August 25-29, 1997. Abstracts of Reports. Kyiv, 1997, P. 30-31.
          5. O. V. Gutik, Embeddings of countable topological semigroups, International Scientific Conference “Modern Problems of Mechanics and Mathematics” Dedicated to the 70th Anniversary of Academician Ya. S. Pidstryhach. Lviv, May 25-28, 1998. Materials. Lviv, 1998, P. 260-261.
          6. T. O. Banakh, I. Yo. Guran, and O. V. Gutik, Free topological inverse semigroups, International Scientific Conference “Modern Problems of Mathematics”, Chernivtsi, June 25-30, 1998. Proceedings. Chernivtsi-Kyiv. (1998), 21-24.
          7. O. V. Gutik, Topological inverse semigroups with some restrictions on translations, II International Algebraic Conference in Ukraine Dedicated to the Memory of Professor L. A. Kalujnin. Vinnytsya-Kyiv, May 9-16, 1999. Materials. Vinnytsya, 1999, P. 18-19.
          8. O. V. Gutik, Compact semilattices with open principal filters, International Conference “Semigroups: the Theory and Applications” in Honor of Professor E. S. Lyapin. St.-Petersburg, June 2-9, 1999. Abstracts of Reports. St.-Petersburg, 1999, P. 83.
          9. O. V. Gutik, On some class оf topological pospaces, International Conference “Nonlinear Partial Differential Equations” dedicated to J. P. Schauder. Lviv, August 23-29, 1999. Abstracts. Lviv, 1999, P. 83.
          10. O. V. Gutik, and K. P. Pavlyk The H-closedness of topological inverse semigroups and topological Brandt λ-extensions, XVI Open Scientific and Technical Conference of Young Scien-tists and Specialists of the Karpenko Physico-Mechanical Institute of NASU. Lviv, May 16-18, 2001. Abstracts. Lviv, 2001, P. 71.
          11. I. Yo. Guran, and O. V. Gutik, The development of Lviv School on topological semigroups, Conference “Scientific Readings Dedicated to the Memory of Academician Ya. S. Pidstryhach” of the Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine. Lviv, May 28-29, 2001. Abstracts of Reports. Lviv, 2001, P. 6.
          12. O. V. Gutik, and O. Ye. Lebidko, On the semigroup of compact subsets of a paratopological group, Conference “Scientific Readings Dedicated to the Memory of Academician Ya. S. Pidstryhach” of the Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine. Lviv, May 28-29, 2001. Abstracts of Reports. Lviv, 2001, P. 6-8.
          13. T. O. Banakh, and O. V. Gutik, An example of a scattered compactum admitting no continuous semilattice operation, Third International Algebraic Conference in Ukraine. Sumy, July 2-8, 2001. Proceedings. Sumy, 2001, P. 13-14.
          14. O. V. Gutik, and K. P. Pavlyk, On topological semigroups of matrix units, Third International Algebraic Conference in Ukraine. Sumy, July 2-8, 2001. Proceedings. (2001), 42-45.
          15. O. V. Gutik, On homomorphisms of topological cancellative semigroups, Ukrainian Mathematical Congress-2001. Section 1: Algebra and Number Theory. Kyiv, August 21-23, 2001. Abstracts of Reports. Kyiv, 2001, P. 21.
          16. O. V. Gutik, and K. P. Pavlyk On homomorphisms of topological semigroups of matrix units, International Conference “Differential Equations and Non-Linear Oscilations”. Chernivtsi, August 27-29, 2001р. Abstracts of Reports. Kyiv, 2001, P. 183.
          17. O. V. Gutik, and K. P. Pavlyk, H-closed topological semigroups and topological Brandt λ-extensions, International Algebraic Conference. Uzhgorod, August 27-29, 2001р. Abstracts of Reports. Uzhgorod, 2001, P. 13.
          18. O. V. Gutik, On topological Brandt λ-extensions of topological semigroups, Conference “Scientific Readings Dedicated to the Memory of Academician Ya. S. Pidstryhach” of the Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine. Lviv, May 23-24, 2002. Abstracts of Reports. Lviv, 2002, P. 5-6.
          19. T. O. Banakh, and O. V. Gutik, On the continuity of the inversion in countably compact inverse topological semigroups, International Conference on Functional Analysis and its Applications. Dedicated to the 110th anniversary of Stefan Banach. Lviv, Ukraine, May, 28-31, 2002. Book of Abstracts. Lviv, 2002, P. 25-26.
          20. O. V. Gutik, and K. P. Pavlyk, Topological Brandt λ-extensions of absolutely H-closed topological inverse semigroups, International Algebraic Conference Dedicated to the Memory of Z. I. Borevich, St.-Petersburg, Russia. Proceedings.(2002), 99-103.
          21. O. V. Gutik, and K. P. Pavlyk, On H-closed topological semigroups and Brandt λ-extensions, International Mathematical Conference Honoring D. A. Grave’s 100th Year Since the Begining of His Work at Kyiv University. Kyiv, June 17-22, 2002. Kyiv, 2002, P. 29-30.
          22. O. V. Gutik, and Yu. Livach, Embeddings of semigroups into nilpotent-generated semigroups, IV International Scientific Conference “Mathematical Problems of the Mechanics of Non-Homogeneous Structures”. Lviv, May 26-29, 2003. Proceedings. Lviv, 2003, P. 487-488.
          23. O. V. Gutik, and K. P. Pavlyk, Topological Brandt λ0-extensions of topological semigroups with zero, IV International Scientific Conference “Mathematical Problems of the Mechanics of Non-Homogeneous Structures”. Lviv, May 26-29, 2003. Proceedings. Lviv, 2003, P. 489-490.
          24. O. V. Gutik, and K. P. Pavlyk, On H-closed topological semigroups and Brandt λ0-extensions, International Conference “Complex Analysis and its Applications”. Lviv, May 26-29, 2003. Abstracts. Lviv, 2003, P. 29-30.
          25. T. O. Banakh, O. V. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, V Iberoamerican Conference on General Topology and its Applications. CITA-2003. Lorca, June 10-14, 2003. Lorca, 2003, P. 61.
          26. O. V. Gutik, On H-closed topological semigroups, First Summer School on Topological Algebra and Functional Analysis. Lviv-Kozeva, July 22-31, 2003. Lviv, 2003, P. 23-24.
          27. T. Banakh, O. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, IV International Algebraic Conference in Ukraine. Lviv, August 4-9, 2003. Abstracts. Lviv, 2003, P. 29-30.
          28. O. V. Gutik, and K. P. Pavlyk, On Brandt λ0-extensions of semigroups with zero, IV International Algebraic Conference in Ukraine. Lviv, August 4-9, 2003. Abstracts. Lviv, 2003, P. 88-89.
          29. O. V. Gutik, On some topological version of the Rees Quotient Theorem , International Conference “6th Bogolyubov Readings”. Chernivts, August 26-30, 2003. Abstracts of Reports. Kyiv, 2003, P. 280.
          30. O. V. Gutik, and Yu. M. Livach, Embeddings of topological semigroups , Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 24-26, 2004. Abstracts of Reports. Lviv, 2004, P. 65-66 (in Ukrainian).
          31. O. V. Gutik, and K. P. Pavlyk, Compact congruence-free topological semigroups, International Conference “Geometric Topology: Infinite-Dimensional Topology, Absolute Extensors, Applications”. Lviv, May 26-30, 2004. Book of Abstracts. Lviv, 2004, P. 24-26.
          32. O. Gutik, and K. Pavlyk, On compact congruence-free topological inverse semigroups, International Conference dedicated to the 125-th anniversary of Hans Hahn. Chernivtsi. June 27-July 3, 2004. Book of Abstracts. Chernivtsi, 2004, P. 128-130.
          33. O. V. Gutik, Topological inverse semigroups, Second Summer School in Algebra and Topology. Lviv-Dolyna, August 2-14, 2004. Programs of Invited Lectures and Abstracts of Research Reports. Lviv, 2004, P. 6.
          34. O. V. Gutik, On linearly ordered H-closed topological semilattices, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 24-27, 2005. Abstracts of Reports. Lviv, 2005, P. 245-246.
          35. O. V. Gutik, and K. Pavlyk, On compact semitopological semigroups of matrix units, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 24-27, 2005. Abstracts of Reports. Lviv, 2005, P. 247-248.
          36. O. V. Gutik, On H-closed topological semilattices, Fifth International Algebraic Conference in Ukraine. Odessa, July 20-27, 2005. Abstracts. Odessa, 2005. P. 82.
          37. O. V. Gutik, and K. P. Pavlyk, On absolutely H-closed topological semigroups and Brandt λ0-extensions, Fifth International Algebraic Conference in Ukraine. Odessa, July 20-27, 2005. Abstracts. Odessa, 2005. P. 83-84.
          38. O. Gutik, and K. Pavlyk, Pseudo-compact semitopological semigroups of matrix units, Third Summer School in Algebra, Analysis and Topology. Lviv-Kozyova, August 9-20, 2005. Invited Lectures and Abstracts of Research Reports. Lviv, 2005. P. 137-139.
          39. O. V. Gutik, and V. Ye. Mel’nyk, On homomorphisms of cancellative topological semigroups, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Lviv-Kozyova July 17-29, 2006. Invited Lectures and Abstracts of Research Reports, Lviv, 2006, C. 139.
          40. O. V. Gutik, and K. P. Pavlyk, On Brandt λ0-extensions of topological semigroups with zero, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Lviv-Kozyova July 17-29, 2006. Invited Lectures and Abstracts of Research Reports, Lviv, 2006, C. 139-142.
          41. I. Chuchman, and O. Gutik, H-closed topological semigroups and semilattices, 6th International Algebraic Conference in Ukraine. Kamyanets-Podil’sky, July 1-7, 2007. Abstracts. Kamyanets-Podil’sky, 2007, P. 49-51.
          42. O. Gutik, and K. Pavlyk, Brandt λ0-extensions and H-closed topological semigroups, 6th International Algebraic Conference in Ukraine. Kamyanets-Podil’sky, July 1-7, 2007. Abstracts. Kamyanets-Podil’sky, 2007, P. 88-90.
          43. O. Gutik, and D. Repovš, On countably compact 0-simple topological inverse semigroups, 6th International Algebraic Conference in Ukraine. Kamyanets-Podil’sky, July 1-7, 2007. Abstracts. Kamyanets-Podil’sky, 2007, P. 90-92.
          44. O. Gutik, and I. Chuchman, On H-closed topological semilattices, Conference on Algorithmic Complexity and Universal Algebra. Dedicated to 75th birthday of Bela Csakany. Szeged, Hungary, July 16-20, 2007. Abstracts. Bolyai Institute, University of Szeged, 2007, P. 5-6.
          45. O. Gutik, and A. Reiter, On countably compact Frechet-Urysohn coungruence-free topological semigroups, Fifth Summer School ”Algebra, Topology and Analysis”. Lviv-Kozyova, August 6-18, 2007. Invited Lectures and Abstracts of Research Reports, Lviv, 2007, C. 40-41.
          46. O. Gutik, and A. Reiter, On Brandt λ-μ-extensions of semigroups, International Conference “Modern Problems in Mechanics and Mathematics”. Lviv, May, 25-29, 2008. Preceedings. In 3 volumes. Vol. 3. Lviv, 2008, P. 212-214.
          47. O. Gutik, and D. Repovš, On linearly ordered H-closed topological semilattices, International Conference “Analysis and Topology”. Lviv, June 2-7, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 26-27.
          48. K. Pavlyk, and O. Gutik, Countably compact primitive topological inverse semigrous, International Conference “Analysis and Topology”. Lviv, June 2-7, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 48-49.
          49. A. Reiter, and O. Gutik, On a topological semigrou finite transformations of a Hausdorff topological space, International Conference “Analysis and Topology”. Lviv, June 2-7, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 59-60.
          50. O. Gutik, and K. Pavlyk, Brandt extensions and primitive topological inverse semigroupss, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics dedicated to Academician Ya. S. Pidstrygach, Lviv, May 25-27, 2009. Abstracts of Reports, Lviv (2009) 191-193.
          51. O. Gutik, and A. Reiter, Topological finite symmetric inverse semigroups, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics dedicated to Academician Ya. S. Pidstrygach, Lviv, May 25-27, 2009. Abstracts of Reports, Lviv (2009) 193-194.
          52. O. Gutik, D. Pagon, and D. Repovš, The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups, International Conference Infinite Dimensional Analysis And Topology, May 27-June 1, 2009, Ivano-Frankivsk. Abstracts of Reports. Ivano-Frankivsk, 2009. P. 52-55.
          53. O. Gutik, and K. Pavlyk, On countably compact Brandt $\lambda^0$-extensions of topological semigroups, International Conference Infinite Dimensional Analysis And Topology, May 27-June 1, 2009, Ivano-Frankivsk. Abstracts of Reports. Ivano-Frankivsk, 2009. P. 55-58.
          54. O. Gutik, and A. Reiter, On embeddings and the H-closedness of topological semigroups of partial finite bijections, International Conference “Infinite Dimensional Analysis And Topology”, May 27-June 1, 2009, Ivano-Frankivsk. Abstracts of Reports. Ivano-Frankivsk, 2009. P. 58-61.
          55. O. Gutik, and A. Reiter, On absolute H-closedness of topological semigroups of partial finite bijections, International Conference dedicated to 100th Anniversary of M. M. Bogolyubov and 70th Annivesary of M. I. Nagnybida, June 8-13, 2009, Chernivtsi. Abstracts of Reports. Chernivtsi, 2009. P. 235-236.
          56. T. Banakh, S. Dimitrova, and O. Gutik, The Rees-Suschkewitsch Theorem for simple topological semigroups, 7th Algebraic Conference in Ukraine, 18-23 August, 2009. Kharkov. Abstract of Talks. Kharkov, 2009, P. 18-20.
          57. O. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, 7th Algebraic Conference in Ukraine, 18-23 August, 2009. Kharkov. Abstract of Talks. Kharkov, 2009, P. 63-64.
          58. K. Pavlyk, O. Gutik, and A. Reiter, On topological semigroups of matrix units, The 14th general meeting of EWM, August 25-28, 2009, Novi Sad, Serbia. Book of Abstracts 2. Novi Sad, 2009. http://ewm2009.files.wordpress.com/2009/08/abstracts26.pdf.
          59. O. Gutik, D. Pagon, and D. Repovš, On sequential countably compact topological semigroups, Ukrainian Mathematical Congress – 2009, Kyiv, Institute of Mathematics of NASU, August 27-29, 2009. http://www.imath.kiev.ua/~congress2009/Abstracts/Gutik.pdf.
          60. O. V. Gutik, and K. P. Pavlyk, On pseudocompact topological inverse Brandt semigroups, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-GP-07.pdf.
          61. O. V. Gutik, and A. R. Reiter, On semitopological symmetric inverse semigroups of a bounded finite rank, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-GR-08.pdf.
          62. O. V. Gutik, and I. Figel’, On embedings of topological semigroups into idempotent-generated semigroups, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-GF-09.pdf.
          63. I. Ya. Chuchman, and O. V. Gutik, Topological monoids of almost monotone injective cofinite partial selfmaps of positive integers, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-CG-38.pdf.
          64. I. Chuchman, and O. Gutik, Topological monoids of almost monotone injective cofinite partial selfmaps of positive integers, Conference on complex analysis dedicated to the memory of A. A. Goldberg (1930-2008). Lviv, Ukraine, May 31-June 5, 2010. Abstracts. Lviv, 2010, P. 8-9.
          65. O. Gutik, and D. Repovš, Brandt λ0-extensions of monoids with zero, AAA80 Workshop on General Algebra in connection with the Workshop on Non-Classical Algebraic Structures, June 1-6, 2010, Bedlewo, Poland. Abstracts. Warsaw, 2010. P. 79-82, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/19.pdf.
          66. O. Gutik, and K. Pavlyk, On some semigroup constructions, AAA80 Workshop on General Algebra in connection with the Workshop on Non-Classical Algebraic Structures, June 1-6, 2010, Bedlewo, Poland. Abstracts. Warsaw, 2010. P. 139, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/37.pdf.
          67. I. Chuchman, and O. Gutik, Topological inverse monoids of almost monotone injective co-finite partial selfmaps of positive integers, Summer School Algebra, Analysis and Topology, 5 July-16 July, 2010, Verkhovyna. Ivano-Frankivsk, 2010, P. 13-15.
          68. O. Gutik, and A. Reiter, On semitopological inverse semigroups of a bounded finite rank, Summer School Algebra, Analysis and Topology, 5 July-16 July, 2010, Verkhovyna. Ivano-Frankivsk, 2010, P. 16-18.
          69. I. Chuchman, and O. Gutik, On monoids of almost identity injective partial selfmaps, International Conference “Modern Problems of Analysis”. Dedicated to 70th Anniversary of the Chair of Mathematical Analysis at Chernivtsi University, 30 September-3 October, 2010, Chernivtsi. Abstracts of Reports, Chernivtsi, 2010, P. 156-157.
          70. O. Gutik, On chains in ℋ-closed pospaces, International Conference “Modern Problems of Analysis”. Dedicated to 70th Anniversary of the Chair of Mathematical Analysis at Chernivtsi University, 30 September-3 October, 2010, Chernivtsi. Abstracts of Reports, Chernivtsi, 2010, P. 162-164.
          71. I. Chuchman, and O. Gutik, On Bohr compactifications of some topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L’viv, Ukraine, November 17-21, 2010. L’viv, 2010, P. 32-33.
          72. O. Gutik, Continuity of the inversion and closures of subsemigroups in topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L’viv, Ukraine, November 17-21, 2010. L’viv, 2010, P. 42.
          73. O. Gutik, K. Pavlyk, and A. Reiter, On complete Brandt λ0-extensions of topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L’viv, Ukraine, November 17-21, 2010. L’viv, 2010, P. 43-44.
          74. O. Gutik, and K. Pavlyk, On semigroups generated by partial translations of a positive cone of a linearly ordered group, IV Conference of Young Scientists on Modern Problems in Mechanics and Mathematics dedicated to Academician Ya. S. Pidstrygach, Lviv, May 24-27, 2011. Abstracts of Reports, Lviv, 2011, P. 261-262.
          75. O. Gutik, On semigroups of (almost) monotone injective partial selfmaps of integers with cofinite domains and images, 8th International Algebraic Conference in Ukraine dedicated to the 60th anniversary of Prof. V. M. Usenko, Luhansk, July 5-12, 2011. Book of Abtracts. Luhansk, 2011, P. 255.
          76. I. Figel’, and O. Gutik, On a topological semigroup CZ, 8th Summer School “Algebra, Analysis, Topology and Applications”, Lazurne, Kherson Region, July 5-15, 2011. Book of Abtracts. Kherson, 2011, P. 13-14.
          77. O. Gutik, On a semigroup of injective partial cofinite selfmaps, 8th Summer School “Algebra, Analysis, Topology and Applications”, Lazurne, Kherson Region, July 5-15, 2011. Book of Abtracts. Kherson, 2011, P. 16-17.
          78. O. Gutik, and K. Pavlyk, Congruences on bicyclic extensions of linearly ordered groups, 8th Summer School “Algebra, Analysis, Topology and Applications”, Lazurne, Kherson Region, July 5-15, 2011. Book of Abtracts. Kherson, 2011, P. 17-18.
          79. O. Gutik, On embedding of a topological semigroup into a countably compact topological semigroup, Workshop on Semigroups (To remember John M. Howie on the occasion of his 76th birthday) , Lisboa, Portugal, May 23-25, 2012. Abtracts. Lisboa, 2012, P. 38-40.
          80. O. Gutik, On ℋ-complete topological semilattices, Conference “Semigroups and Applications” , August 29-September 2, 2012, Uppsala University, Uppsala, Sweden. Abstracts. 2012, P. 11.
          81. S. Bardyla, and O. Gutik, An example of an ℋ-complete topological semilattice which is not Aℋ–complete, International Conference dedicated to the 120th anniversary of Stefan Banach, September 17-21, 2012, Lviv, Ukraine, Abstracts of Reports. L’viv, 2012, P. 76.
          82. O. Gutik, On some generalization of the bicyclic semigroup: the topological version, International Conference dedicated to the 120th anniversary of Stefan Banach, September 17-21, 2012, Lviv, Ukraine, Abstracts of Reports. L’viv, 2012, P. 84.
          83. K. Pavlyk, and O. Gutik, On categories of pseudocompact topological Brandt λ0-extensions of semitopological semigroups, International Conference dedicated to the 120th anniversary of Stefan Banach, September 17-21, 2012, Lviv, Ukraine, Abstracts of Reports. L’viv, 2012, P. 102-103.
          84. S. Bardyla, and O. Gutik, On ℋ-complete topological semilattices, 9th International Algebraic Conference in Ukraine, July 8-13, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 20.
          85. O. Gutik, On ℋ-complete topological pospaces, 9th International Algebraic Conference in Ukraine, July 8-13, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 72.
          86. O. Gutik, and K. Pavlyk, On pseudocompact primitive topological inverse semigroups, 9th International Algebraic Conference in Ukraine, July 8-13, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 73.
          87. O. Gutik, and I. Pozdnyakova, On the semigroup of monotone co-finite partial bijections of ℕ 2≤, 9th International Algebraic Conference in Ukraine, July 8-13, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 74.
          88. O. Gutik, Pseudocompact inverse primitive (semi)topological semigroups, Topological Winter School in Abstract Analysis. Section Set Theory & Topology, 25 January – 1 February 2014, Hejnice, Chech Republic, http://www.winterschool.eu/program-2014.
          89. O. Gutik, and O. Ravskyi, On sequentially pseudocompact and pracompact space, IV International Hahn Conference, Chernivtsi, June 30 – July 5, 2014. Abstracts of Reports. Chernivtsi, 2014, P. 228-229.
          90. K. Chepil, and O. Gutik, On the semigroup of all monotone co-finite partial homeomorphisms of the real line, The International Algebraic Conference dedicated to 100th anniversary of L. A. Kaluzhnin, Kyiv, July 7-12, 2014. Abstracts of Reports. Kyiv, 2014, P. 96.
          91. O. Gutik, Groups of automorphisms of Brandt λ0-extensions of monoids with zero, The International Algebraic Conference dedicated to 100th anniversary of L. A. Kaluzhnin, Kyiv, July 7-12, 2014. Abstracts of Reports. Kyiv, 2014, P. 97.
          92. O. Gutik, and I. Pozdnyakova, Congruences on the monoid of monotone injective partial selfmaps of Lnxlexℤ with co-finite domains and images, IXth Summer Schooll “Algebra, Topology, and Analysis”, July 7-18, 2014, Polianytsia, Ukraine. Book of abstracts. Ivano-Frankivs’k, 2014, P. 4-5.
          93. O. Gutik, and O. Ravskyi, Pseudocompactness, products and Brandt λ0-extensions of semitopological monoids, IXth Summer Schooll “Algebra, Topology, and Analysis”, July 7-18, 2014, Polianytsia, Ukraine. Book of abstracts. Ivano-Frankivs’k, 2014, P. 5-6.
          94. S. Bardyla, and O. Gutik, On a semitopological λ-polycyclic monoid, Scientific Conference Dedicated to 100 Anniversary of Birthdays of K. M. Fishman and M. K. Fague, July 1-4, 2015, Chernivtsi, Ukraine. Book of abstracts. Chernivtsi, 2015, P. 134-135.
          95. O. Gutik, H-closed pospaces and semitopological semilattices, Scientific Conference Dedicated to 100 Anniversary of Birthdays of K. M. Fishman and M. K. Fague, July 1-4, 2015, Chernivtsi, Ukraine. Book of abstracts. Chernivtsi, 2015, P. 138-139.
          96. O. Gutik, Compact topological semigroups, X-th Summer School “Algebra, Topology, Analysis”, August 3-15, 2015, Odessa, Ukraine. Book of Abstracts. Institute of Mathematics of NAS of Ukraine, Kyiv, 2015, P. 5.
          97. S. Bardyla, O. Gutik, and A. Ravsky, H-closed quasitopological groups, X-th Summer School “Algebra, Topology, Analysis”, August 3-15, 2015, Odessa, Ukraine. Book of Abstracts. Institute of Mathematics of NAS of Ukraine, Kyiv, 2015, P. 67.
          98. O. Gutik, On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero, X International Algebraic Conference in Ukraine dedicated to the 70th anniversary of Yu. A. Drozd, August 20-27, 2015, Odessa, Ukraine. Abstracts. I. I. Mechnikov Odessa National University, Odessa, 2015. P. 46.
          99. O. Gutik, and K. Melnyk, The semigroup of monotone co-finite partial homeomorphisms of the real line, X International Algebraic Conference in Ukraine dedicated to the 70th anniversary of Yu. A. Drozd, August 20-27, 2015, Odessa, Ukraine. Abstracts. I. I. Mechnikov Odessa National University, Odessa, 2015. P. 47.
          100. O. Gutik, and O. Sobol, Extensions of semigroups by symmetric inverse semigroups of a bounded finite rank, X International Algebraic Conference in Ukraine dedicated to the 70th anniversary of Yu. A. Drozd, August 20-27, 2015, Odessa, Ukraine. Abstracts. I. I. Mechnikov Odessa National University, Odessa, 2015. P. 48.
          101. O. Gutik, and K. Maksymyk, Semitopological bicyclic extensions of linearly ordered groups, International Conference “Complex Analysis and Related Topics”, May 30-June 4, 2016, Lviv. Abstracts. Lviv, 2016, P. 30.
          102. O. Gutik, and O. Sobol, Feebly compact topologies on the semilattice expn(λ), International Conference “Complex Analysis and Related Topics”, May 30-June 4, 2016, Lviv. Abstracts. Lviv, 2016, P. 31-32.
          103. S. Bardyla, O. Gutik, and A. Ravsky, H-closed quasitopological groups, International Conference “Geometry and topology in Odessa – 2016”, 2 – 8 June, 2016, Odessa, Ukraine. Abstracts. Odessa, 2016, P. 13.
          104. S. Bardyla, O. Gutik, and A. Ravsky, H-closed quasitopological groups, 7th European Congress of Mathematics, July 18-22, 2016, Technische Universität Berlin, Book of Abstracts, Berlin, 2016, P. 379.
          105. S. Bardyla, and O. Gutik, On the embeddings and closures of a topological λ-polycyclic monoid, XI-th Summer School “Algebra, Topology, Analysis”, August 1-14, 2016, Odessa, Ukraine. Book of Abstracts. Institute of Mathematics of NAS of Ukraine, Kyiv, 2016, P. 34.
          106. S. Bardyla, and O. Gutik, On the embeddings and closures of the topological λ-polycyclic monoid, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27-October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 9.
          107. O. Gutik, On locally compact semitopological 0-bisimple inverse ω-semigroups, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27-October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 21.
          108. K. Maksymyk, and O. Gutik, On semitopological interassociates of the bicyclic monoid, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27-October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 31-32.
          109. I. Pozdniakova, and O. Gutik, On the monoid of monotone injective partial selfmaps of ℕ×ℕ with cofinite domains and images, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27-October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 42.
          110. O. Sobol, and O. Gutik, Feebly compact topologies on the semilattice expnλ, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27-October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 48.
          111. O. Gutik, Locally compact semitopological 0-bisimple inverse ω-monoids, International Mathematical Conference “Groups and Actions: Geometry and Dynamics” dedicated to the memory of Professor Vitaly Sushchanskyy, December 19-22, 2016, Taras Shevchenko National University of Kyiv, Ukraine. Abtract of Reports. Kyiv, 2016, P. 24.
          112. I. Pozdniakova, and O. Gutik, On the monoid of monotone injective partial selfmaps of ℕ2 with co-finite domains and images, International Mathematical Conference “Groups and Actions: Geometry and Dynamics” dedicated to the memory of Professor Vitaly Sushchanskyy, December 19-22, 2016, Taras Shevchenko National University of Kyiv, Ukraine. Abtract of Reports. Kyiv, 2016, P. 39.
          113. O. Gutik, Topological properties of Taimanov semigroups, 11th International Algebraic Conference in Ukraine dedicated to the 75th anniversary of V. V. Kirichenko, July 3-7, 2017, Kyiv, Ukraine. Abstracts, Kyiv, 2017, P. 51.
          114. A. Savchuk, and O. Gutik, On the semigroup ID∞, 11th International Algebraic Conference in Ukraine dedicated to the 75th anniversary of V. V. Kirichenko, July 3-7, 2017, Kyiv, Ukraine. Abstracts, Kyiv, 2017, P. 119.
          115. O. Gutik, Around compact (semi)topological semigroups, XIIth Summer School, “Algebra, Topology, Analysis”, July 10-23 2017, Kolochava, Ukraine. Abstracts of Reports. Kyiv, 2017, P. 32.
          116. O. Gutik, On feebly compact semitopological symmetric inverse semigroups of a bounded finite rank, International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, Ukraine, 18-23 September 2017. Book of Abstracts, Lviv. 2017, P. 62.
          117. T. Mokrytskyi, and O. Gutik, On the semigroup of order isomorphisms of principal filters of a power of the integers, International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, Ukraine, 18-23 September 2017. Book of Abstracts, Lviv. 2017, P. 74.
          118. A. Savchuk, and O. Gutik, The semigroup of partial co-finite isometries of positive integers, Modern problems of Mechanics and Mathematics: collection of scientific papers in 3 vols. Edited by A. М. Samoilenko, R. M. Kushnir [Electronic resource], Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine. Lviv, 2018. Vol. 3, P. 233, http://www.iapmm.lviv.ua/mpmm2018 (in Ukrainian).
          119. O. Sobol, and O. Gutik, On feebly compact semitopological semilattice expnλ,, Modern problems of Mechanics and Mathematics: collection of scientific papers in 3 vols. Edited by A. М. Samoilenko, R. M. Kushnir [Electronic resource], Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine. Lviv, 2018. Vol. 3, P. 262-263, http://www.iapmm.lviv.ua/mpmm2018.
          120. O. Gutik, Feebly compact semitopological symmetric inverse semigroups of a bounded finite rank, Conference “Dynamical methods in Algebra, Geometry and Topology”, 4-6 July, 2018. Udine, Italy. P. 4, https://dagt.uniud.it/abstracts/.
          121. O. Gutik, and O. Krokhmalna, The monoid of monotone injective partial selfmaps of the poset (ℕ3,≤) with cofinite domains and images, The 13-th Summer School “Analysis, Topology and Applications”, 29 July – 11 August, 2018, Vyzhnytsya, Chernivtsi region, Ukraine. Book of Abstracts, Chernivtsi, 2018, P. 14-15.
          122. O. Gutik, and A. Ravsky, On old and new classes of feebly compact spaces, The 13-th Summer School “Analysis, Topology and Applications”, 29 July – 11 August, 2018, Vyzhnytsya, Chernivtsi region, Ukraine. Book of Abstracts, Chernivtsi, 2018, P. 15-17.
          123. K. Maksymyk, and O. Gutik, On variants of the bicyclic extended semigroup, The 13-th Summer School “Analysis, Topology and Applications”, 29 July – 11 August, 2018, Vyzhnytsya, Chernivtsi region, Ukraine. Book of Abstracts, Chernivtsi, 2018, P. 29-32.
          124. O. Gutik, On feeble compact (semi)topological semigroups, Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society, Wrocław, 17-20 September 2018. Abstracts. Wrocław, 2018, P. 221.
          125. O. Gutik, and K. Melnyk, The semigroup of star partial homeomorphisms of a finite deminsional Euclidean space, International scientific conference “Algebraic and geometric methods of analysis”, May 28 – June 3, 2019, Odesa, Ukraine. Abstracts. Odesa, 2019, P. 25.
          126. O. Gutik, and O. Sobol, Extensions of semigroups by symmetric inverse semigroups ofa bounded finite rank, International scientific conference “Algebraic and geometric methods of analysis”, May 28 – June 3, 2019, Odesa, Ukraine. Abstracts. Odesa, 2019, P. 26.
          127. O. Gutik, and A. Savchuk, On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers, “Banach Spaces and their Applications”, International conference dedicated to 70th anniversary of Professor Anatolij Plichko, 25 – 30 June, 2019; Lviv, Ukraine. Book of Abstracts. Ivano-Frankivsk, 2019, P. 45-46.
          128. O. Gutik, On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers, The XII International Algebraic Conference in Ukraine, July 02-06, 2019, Vinnytsia, Ukraine. Abstracts. Vinnytsia, 2019, P. 42-43.
          129. P. Khylynskyi, O. Gutik, On Bruck-Reilly λ-extensions of semigroups, The XII International Algebraic Conference in Ukraine, July 02-06, 2019, Vinnytsia, Ukraine. Abstracts. Vinnytsia, 2019, P. 51.
          130. O. Gutik, and K. Maksymyk, On a semitopological extended bicyclic semigroup with adjoined zero, Set-theoretic methods in topology and real functions theory, The conference is dedicated to the 80th birthday of Lev Bukovský. September 9-13, 2019, Košice. Abstracts. Košice, 2019, P. 31-32.
          131. O. Gutik, and A. Savchuk, On the monoid of cofinite partial isometries of a finite power of positive in¬te¬gers with the usual metric, International Conference “Morse theory and its applications”, dedicated to the memory and 70th anniversary of Volodymyr Vasylyovych Sharko (25.09.1949-07.10.2014). Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine, September 25-28, 2019. Kyiv, 2019, P. 13-15.
          132. S. Bardyla, and O. Gutik, On the lattice of weak topologies on the bicyclic monoid with adjoined zero, International mathematical conference dedicated to the 60th anniversary of the department of algebra and mathematical logic of Taras Shevchenko National University of Kyiv. Book of Abstracts. July 14–17, 2020. Taras Shevchenko National University of Kyiv, Kyiv, 2020. P. 16.
          133. O. Gutik, On the monoid of cofinite partial isometries of ℕ with a bounded finite noise, Contemporary Mathematics in Kielce 2020, February 24-27, 2021, Kielce, Poland. https://cmk2020.ujk.edu.pl/schedule.
          134. O. Gutik, and P. Khylynskyi, On the monoid of cofinite partial isometries of ℕ with a bounded finite noise, International Online Conference “Algebraic and Geometric Methods of Analysis”, dedicated to the memory of Yuriy Trokhymchuk (17.03.1928-18.12.2019). May 25-28, 2021, Odesa, Ukraine. Abstracts, P. 48-49.
          135. O. Gutik, and M. Mykhalenych, On some generalization of the bicyclic monoid, International Online Conference “Algebraic and Geometric Methods of Analysis”, dedicated to the memory of Yuriy Trokhymchuk (17.03.1928-18.12.2019). May 25-28, 2021, Odesa, Ukraine. Abstracts, P. 50.
          136. O. Gutik, On some generalization of the bicyclic monoid, International Conference “Dynamics of (Semi-)Group Actions”. June 22-25, 2021, Łódz, Poland, Abstracts, P. 11.
          137. O. Gutik, Around the bicyclic monoid, The 13th International Algebraic Conference in Ukraine. July 6-9, 2021, Taras Shevchenko National University of Kyiv, Kyiv, 2021, Book of Abstracts, P. 38.
          138. O. Gutik, and A. Savchuk, On the monoid of cofinite partial isometries of ℕ with the usual metric, The 13th International Algebraic Conference in Ukraine. July 6-9, 2021, Taras Shevchenko National University of Kyiv, Kyiv, 2021, Book of Abstracts, P. 39.
          139. O. Gutik, and I. Pozdnyakova, On the semigroup generating by extended bicyclic semigroup and an ω-closed family, XXVI International Scientific Conference “Modern Problems of Applied Mathematcs and Computer Sxiences APAMCS-2021”, September 27-28, 2021, Lviv. Proceedings, Lviv, 2021, P. 95-97 (in Ukrainian).
          140. O. Gutik, and P. Khylynskyi, On a locally compact semitopological monoid of cofinite partial isometries of ℕ with adjoined zero, International Algebraic Conference “At the End of the Year” 2021. December 27-28, 2021, Kyiv, Ukraine. Abstracts, P. 13.
          141. O. Gutik, and M. Mykhalenych, On a semitopological semigroup Ɓωℱ when a family ℱ consists of inductive non-empty subsets of ω, International Algebraic Conference “At the End of the Year” 2022. December 27-28, 2022, Kyiv, Ukraine. Abstracts, Kyiv, 2022, Abstracts, P. 23.
          142. O. Popadiuk, and O. Gutik, On the semigroup Ɓωℱn which is generated by the family ℱn of finite bounded intervals of ω, International Algebraic Conference “At the End of the Year” 2022. December 27-28, 2022, Kyiv, Ukraine. Abstracts, Kyiv, 2022, Abstracts, P. 42.
          143. I. Pozdniakova, and O. Gutik, On the group of automorphisms of the semigroup Ɓℤℱ with the family ℱ of inductive nonempty subsets of ω, International Algebraic Conference “At the End of the Year” 2022. December 27-28, 2022, Kyiv, Ukraine. Abstracts, Kyiv, 2022, Abstracts, P. 43.

      Other Conference, Workshop, Meeting and Seminar Reports

          1. On the bands of compact inverse semigroups with open translations, All Ukrainian Scientific Conference “Development and Applications of Mathematical Methods in Scientific Research”, October 3-7, 1995. Lviv, Ukraine.
          2. On compact semilattices with open principal ideals, Forth International Conference “Groups and Group Rings”, September 17-21, 1996. Velykyi Lyubin, Ukraine.
          3. On homomorphisms of topological semigroups, International Conference Dedicated to 100th Anniversary of Rene Baer Dissertation, September 15-17, 1999. Chernivtsi, Ukraine.
          4. On countably compact 0-simple and congruence-free topological inverse semigroups, Geometric Topology Seminar, June 2, 2006. University of Ljubljana, Slovenia.
          5. Topological semigroups of matrix units, Summer School on Algebra and Ordered Sets, September 2-9, 2006. Radejov, Czech Republic.
          6. H-closed topological semigroups and semilattices, 8th Conference “Geometry and Topology of Manifolds”, April 30-May 6, 2007. Przemysl-Lviv, Poland-Ukraine.
          7. On H-closedness in partially ordered topological spaces, Geometric Topology Seminar, November 23, 2007. University of Ljubljana, Slovenia.
          8. The history of the Lviv mathematical school, Geometric Topology Seminar, July 17, 2008. University of Ljubljana, Slovenia.
          9. Countably compact topological semigroups, Geometric Topology Seminar, August 19, 2009. University of Ljubljana, Slovenia.
          10. Topological semilattices with restrictions on translations and their completeness, Seminarium z algebry ogólnej, March 15, 2011. Politechnika Warszawska, Poland.
          11. H-complete topological semigroups and semilattices, Geometric Topology Seminar, April 17, 2013. University of Ljubljana, Slovenia.
          12. On compactifications of topological Brandt extensions of semitopological semigroups, Geometric Topology Seminar, April 24, 2013. University of Ljubljana, Slovenia.
          13. Semigroups of partial monotone bijections of ordered sets, The 51st Summer School on General Algebra and Ordered Sets, September 1-7, 2013, Hotel Troyer, Trojanovice, Czech Republic.
          14. Topological semigroups and paratopological groups, Join Meeting of the Mathematical Section NAN of Ukraine and the Section of Mathematics and Mathematical Modeling of Western Scientific Center of NAN of Ukraine, dedicated to the developed of the topology in Western Ukraine, October 30, 2013. Lviv.
          15. Topological semilattices with restrictions on translations, 2014 Zhangzhou International Topology Workshop, April 10-16, 2014. Minnan Normal University, Zhangzhou, China.
          16. H-complete topological semilattices, 2014 Zhangzhou International Topology Workshop, April 10-16, 2014. Minnan Normal University, Zhangzhou, China.
          17. Compact like topological semigroups, 2014 Zhangzhou International Topology Workshop, April 10-16, 2014. Minnan Normal University, Zhangzhou, China.
          18. Topological Brandt λ0-extensions of (semi)topological semigroups, 2014 Zhangzhou International Topology Workshop, April 10-16, 2014. Minnan Normal University, Zhangzhou, China.
          19. Pseudocompact topological semigroups, I, II, III, Workshop on Topological Groups and Their Generalizations, September 22-27, 2014. University of Hradec Králové, Czech Republic.
          20. Around the bicyclic monoid: topological and semigroup views, Set Theory Seminar, April 1, 2015. Wroclaw University of Sciences and Technology, Poland.
          21. Compact-like semitopological and topological semigroups, Topology Seminar, Mathematical Institute, May 31, 2015. Wroclaw University, Poland.
          22. On the group of automorphisms of the Brandt λ0-extension of a monoid with zero, Workshop on Algorithmic Aspects of Finding Semigroups of Partial Automorphisms of Combinatorial Structures, September 17, 2016. ITAT 2016, Hotel Sorea Hutnik, Tatranske Matliare, Slovakia.
          23. Brandt λ0-extensions of semigroups, Instytut Matematyki Politechniki Lόdzkiej, October 17, 2016. Politechnika Lόdzka, Poland.
          24. The topologization of inverse semigroups, The December Sesion of Shevchenko Scientific Society (Mathematical Committee), December 23, 2016. Lviv, Ukraine.
          25. Around the bicyclic semigroup, Seminar of Institute of Mathematics, November 29, 2018. Jan Kochanowski University in Kielce, Poland.
          26. On semigroups of partial order isomorphism and co-finite partial homeomorphisms, Topology Seminar, Mathematical Institute, November 26, 2018. Wroclaw University, Poland.
          27. Algebra and Number Theory in Puzyna’s works, Академія, присвячена пам’яті проф. Юзефа князя Пузини (1856 – 1919), March 22, 2019. National University of Lviv, Ukraine.
          28. Codes and Automata, Winter School DES 2020 Data Engineering and Security, January 28, 2020. National University of Lviv, Ukraine.
          29. Lviv Topological Seminar and its founder Igor Guran, Topology in Lviv University, February 24, 2020. National University of Lviv, Ukraine.
          30. Algebraic Codes and Automata, Winter School DES 2021 Data Engineering and Security, January 18 and 28, 2021. National University of Lviv, Ukraine.
          31. Codes and Automata: the Algebraic View, Winter School DES 2022 Data Engineering and Security, February 1, 2022. National University of Lviv, Ukraine.

      Particapant of Conferences

          1. The Second Europian Set Theory Metting: In Honnor of Ronald Jensen, July 5-10, 2009, Będlewo, Poland.
          2. AAA 100 – Arbeitstagung Allgemeine Algebra, February 5-7, 2021, Kraków, Poland.
          3. Algebra, Topology and their Interactions, International conference, 7-8 September 2021, Udine, Italy.

       

      Other Papers

        1. I. Guran, and O. Gutik, Alexander Doniphan Wallace: the founder of the theory of topological semigroups, Third Summer School in Algebra, Analysis and Topology. Lviv-Kozyova, August 9-20, 2005. Invited Lectures and Abstracts of Research Reports. Lviv (2005), 31-57.
        2. Ya. Prytula, M. Zarichnyi, T. Banakh, and O. Gutik, Second summer school in algebra and topology, Mat. Stud. 22 (2004) no. 2, 223-224.
        3. O. Gutik, and M. Zarichnyi, Third Summer School in Algebra, Analysis and Topology, Mat. Stud. 24 (2005), no. 2, 217-218.
        4. O. Gutik, and M. Zarichnyi, Third Summer School in Algebra, Analysis and Topology, Ukr. Math. Zh. 58 (2006), no. 2, 288-289 (in Ukrainian).
        5. O. Gutik, and M. Zarichnyi, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Mat. Stud. 26 (2006), no. 1, 111-112.
        6. О. Д. Артемович, Л. Є. Базилевич, Т. О. Банах, Б. М. Бокало, I. Й. Гуран, О. В. Гутiк, Б. В. Забавський, М. М. Зарiчний, М. Я. Комарницький, О. Р. Никифорчин, О. В. Равський, Т. М. Радул, О. Б. Скаскiв, М. М. Шеремета, Iгор Володимирович Протасов, (до 60-рiччя з дня народження), Mat. Stud. 40 (2013), no. 2, 209-215.
        7. Л. Є. Базилевич, Т. О. Банах, Б. М. Бокало, I. Й. Гуран, О. В. Гутiк, А. В. Загороднюк, М. М. Зарiчний, Л. С. Здомський, В. К. Маслюченко, Л. П. Плахта, А. М. Плiчко, М. М. Попов, I. В. Протасов, Т. М. Радул, О. Б. Скаскiв, М. М. Шеремета, Robert Cauty, 13.11.1946 — 8.07.2013, Mat. Stud. 40 (2013), no. 2, 216-221.
        8. Т. О. Банах, Б. М. Бокало, О. В. Гутік, М. М. Зарічний, Я. Г. Притула, І. В. Протасов, О. В. Равський, Т. М. Радул, Я. М. Холявка, Igor Guran (dedicated to the 60th birthday), Mathematical Bulletin of the Shevchenko Scientific Society 12 (2015), 147-154 (in Ukrainian).
        9. Т.О. Банах, А.І. Гаталевич, І.Й. Гуран, О.В. Гутік, Б.В. Забавський, М.М. Зарічний, В.Р. Зеліско, Ю.Б. Іщук, М.О. Малоїд-Глєбова, І.О. Мельник, Р.М. Олійник, Я.Г. Притула, О.М. Романів, Микола Ярославович Комарницький (25.05.1948 – 20.04.2016), Visn. L’viv. Univ., Ser. Mekh.-Mat. 81 (2016), 163-164 (in Ukrainian).
        10. О. Артемович, Т. Банах, О. Безущак, Є. Бондаренко, О. Вербіцький, Р. Григорчук, І. Гуран, О. Гутiк, Ю. Дрозд, М. Зарічний, В. Некрашевч, А. Олiйник, Б. Олiйник, А. Петравчук, А. Прикарпатський, І. Протасов, Д. Савчук, О. Скаскiв, Віталій Іванович Сущанський (14.11.1946-29.10.2016), Mathematical Bulletin of the Shevchenko Scientific Society 13 (2016), 165-167 (in Ukrainian).
        11. О.Д. Артемович, О.О. Безущак, І.Й. Гуран, О.В. Гутiк, Б.В. Забавський, М.М. Зарічний, А.С. Олiйник, Б.В. Олiйник, А.П. Петравчук, В.М. Петричкович, А.К. Прикарпатський, І.В. Протасов, О.Б. Скаскiв, Б.З. Шаваровський, М.М. Шеремета, В.М. Щедрик, Віталій Іванович Сущанський (14 листопада 1946 – 29 жовтня 2016), Mat. Stud. 46 (2016), no. 1, 111-112 (in Ukrainian).
        12. Т. Банах, О. Гутік, Про міжнародну конференцію, присвячену 120-й річниці з дня народження Казимира Куратовського, Visn. L’viv. Univ., Ser. Mekh.-Mat. 82 (2016), 224-225 (in Ukrainian).
        13. T. O. Banakh, O. V. Gutik, International conference in functional analysis dedicated to the 125th anniversary of Stefan Banach, Mat. Stud. 48 (2017), no. 2, 220-221.
        14. T. Banakh, O. Gutik, The International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, Visn. L’viv. Univ., Ser. Mekh.-Mat. 84 (2017), 126-127.
        15. О. Гутік, Урочиста Академія, присвячена 150-й річниці від дня народження Георгія Вороного, Visn. L’viv. Univ., Ser. Mekh.-Mat. 85 (2018), 139 (in Ukrainian).
        16. Т. Банах, Б. Бокало, В. Бридун, О. Гринів, І. Гуран, О. Гутік, Н. Мазуренко, К. Максимик, О. Никифорчин, Я. Притула, О. Равський, Я. Холявка, Михайло Михайлович Зарічний (до 60-річчя з дня народження), Visn. L’viv. Univ., Ser. Mekh.-Mat. 86 (2018), 3-38 (in Ukrainian).
        17. О. Гутік, Урочиста Академія, присвячена 65-и річчю механіко-математичного факультету, Visn. L’viv. Univ., Ser. Mekh.-Mat. 86 (2018), 157 (in Ukrainian).
        18. O. Гутік, Я. Притула, Академія, присвячена пам’яті Юзефа Пузини (1856-1919), Visn. L’viv. Univ., Ser. Mekh.-Mat. 87 (2019), 122-123 (in Ukrainian).
        19. Т. Банах, О. Гринів, O. Гутік, М. Зарічний, Міжнародна конференція “Banach Spaces and their Applications”, присвячена 70-й річниці з дня народження Анатолія Миколайовича Плічка, Visn. L’viv. Univ., Ser. Mekh.-Mat. 87 (2019), 124-125 (in Ukrainian).
        20. O. Гутік, Шотландська книга: минуле, сьогодення, майбутнє, Visn. L’viv. Univ., Ser. Mekh.-Mat. 88 (2019), 167 (in Ukrainian).
        21. O. Гутік, Топологія у Львівському університеті, Visn. L’viv. Univ., Ser. Mekh.-Mat. 89 (2020), 123-124 (in Ukrainian).
        22. О. Бугрій, O. Гутік, О. М. Кінаш (21.05.1964-13.02.2021), Visn. L’viv. Univ., Ser. Mekh.-Mat. 91 (2021), 105-106 (in Ukrainian).
        23. О. Бугрій, O. Гутік, М. Заболоцький, М. І. Бугрій (10.09.1948-24.04.2021), Visn. L’viv. Univ., Ser. Mekh.-Mat. 91 (2021), 107-108 (in Ukrainian).
        24. O. Гутік, Я. Притула, Березневе засідання Математичної комісії Наукового товариства імені Тараса Шевченка, Visn. L’viv. Univ., Ser. Mekh.-Mat. 91 (2021), 109 (in Ukrainian).
        25. O. Гутік, Я. Притула, Грудневе засідання Математичної комісії Наукового товариства імені Тараса Шевченка, Вісник Львівського університету. Серія мех.-мат. 92 (2021), 120 (in Ukrainian).

Biography

Curriculum Vitae
Birthdate: June 30, 1967
Place of birth: Lviv, Ukraine
Citizenship: Ukraine
Military service: Soldier of the Soviet Army, June 1985-May 1987

Education
Lviv Secondary School No.79 : September 1974 – June 1984
Student of the Ivan Franko Lviv State University : September 1984 – June 1985
Student of the Ivan Franko Lviv State University : May 1987 – June 1991 Research Experience
Ukrainian Academy of Printing : Head of Laboratory, September 1991 – September 1995
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine: Mathematician of the Department of Algebra, March 1996 – May 1997
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine: Junior Researcher of the Department of Algebra, June 1997 – April 1999
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine: Researcher of the Department of Algebra, April 1997 – November 2001
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine: Senior Researcher of the Department of Algebra, December 2001 – August 2005
Ivan Franko Lviv National University : Associate Professor of the Department of Mecahnics and Mathematics, September 2003 – present

Schedule

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