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
 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:

 O. V. Gutik, Embedding of topological semigroups into simple semigroups, Mat. Stud. 3 (1994),1014, (in Russian) (MR 1692849 (2000m:22006), Zbl 0928.22004).
1996:

 O. V. Gutik, Any topological semigroup topologically isomorphically embeds into a simple pathconnected topological semigroup, Algebra and Topology, Lviv Univ. Press (1996), 6573, (in Ukrainian).
 O. V. Gutik, On the structure of the band of a compact inverse semigroup with open translations, Mat. Stud. 6 (1996), 3338, (in Russian) (MR 1691120 (2000a:22003), Zbl 0928.22005).
 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:

 O. V. Gutik, On a coarsening of a direct sum topology on the Bruck semigroup, Visn. L’viv. Univ., Ser. Mekh.Mat. 47 (1997), 1721, (in Ukrainian).
1998:

 O. V. Gutik, Embedding of countable topological semigroups into simple countable connected topolological semigroups, Mat. Metody Fiz.Mekh. Polya 41 (1998), no. 3, 1621 (in Ukrainian). English Version in: J. Math. Sci. 104 (2001), no. 5, 14221427 (doi: 10.1023/A:1011311030702, MR 1706772 (2000e:22002), Zbl 0933.22004).
1999:

 O. V. Gutik, On compact semilattices with open principal filters, Mat. Metody Fiz.Mekh. Polya 42 (1999), no. 3, 9194, (in Ukrainian) (MR 1977866 (2004c:06009), Zbl 1050.54519).
 O. V. Gutik, On Howie semigroup, Mat. Metody Fiz.Mekh. Polya 42 (1999), no. 4, 127132, (in Ukrainian) (MR 1967818, Zbl 1047.22500).
2000:

 O. V. Gutik, Ye. G. Zelenyuk, On nonproper homomorphisms of the semigroups of ultrafiltres, Mat. Metody Fiz.Mekh. Polya 43 (2000), no. 1, 1922, (in Ukrainian) (MR 1972601 (2004b:22006), Zbl 1054.22002).
 O. Gutik, Compact topological inverse semigroups, Semigroup Forum 60 (2000), no. 2, 243252 (doi: 10.1007/s002339910017, MR 1830131 (2002e:22004), Zbl 0945.22002).
 O. V. Gutik, On homomorphisms of topological inverse semigroups, Mat. Metody Fiz.Mekh. Polya 43 (2000), no. 2, 7582, (in Ukrainian) (MR 1977836 (2004a:22001), Zbl 1052.54512).
2001:

 O. V. Gutik, and K. P. Pavlyk, The Hclosedness of topological inverse semigroups and topological Brandt λextensions, XVI Open Scientific and Technical Conference of Young Scientists of the Karpenko PhysicoMechanical Institute of NASU. May 1718, 2001. Lviv, Ukraine. Proceedings. (2001), 240243.
 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 computeraided …”. June 2628, 2001. Vologda, Russia. Proceedings. (2001), 301305.
 T. O. Banakh, I. Yo. Guran, and O. V. Gutik, Free topological inverse semigroups, Mat. Stud.15 (2001), no. 1, 2343 (MR 1871924 (2003e:20072), Zbl 0990.22001).
 O. V. Gutik, and K. P. Pavlyk, Hclosed topological semigroups and topological Brandt λextensions, Mat. Metody Fiz.Mekh. Polya 44 (2001), no. 3, 2028, (in Ukrainian) (MR 1967909 (2004a:22002), Zbl 1098.22500).
2002:

 O. V. Gutik, M. Radjagopalan, and K. Sundaresan, Compact semilattices with open principal filters, J. Austral. Math. Soc. 72, №3 (2002), 349362 (doi: 10.1017/S1446788700036776, MR 1902205 (2003f:22005), Zbl 1024.22001).
 O. V. Gutik, and K. P. Pavlyk, Embedding of topological semigroups, Mat. Metody Fiz.Mekh. Polya 45 (2002), no. 1, 9096, (in Ukrainian) (MR 1967652 (2003m:22005), Zbl 1073.54017).
 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 1517, 2002. Lviv, Ukraine. Proceedings. (2002), 149152.
 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 PhysicoMechanical Institute of NASU. May 1517, 2002. Lviv, Ukraine. Proceedings. (2002), 153155.
2003:

 O. Gutik, and K. Pavlyk, Topological Brandt λextensions of absolutely Hclosed topological inverse semigroups, Visn. L’viv. Univ., Ser. Mekh.Mat. 61 (2003), 98105 (Zbl 1034.22003).
 O. V. Gutik, and O. Ye. Lebidko, On semigroup of compact subsets of a paratopological group, Applied Problems of Mech. and Math. 1 (2003), 2024.
2004:

 O. V. Gutik, and K. P. Pavlyk, On 0simple initially τcompact topological inverse semigroups, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics, Lviv, May 2426, 2004. Proceedings, Lviv (2004) 179181.
 T. O. Banakh, and O. V. Gutik, On the continuity of inversion in countably compact inverse topological semigroups, Semigroup Forum 68 (2004), no. 3, 411418 (doi: 10.1007/s002330030023y, MR 2050899 (2005c:22005), Zbl 1052.22003).
2005:

 O. V. Gutik, and K. P. Pavlyk, Topological semigroups of matrix units, Algebra Discr. Math. no. 3 (2005), 117 (MR 2237891 (2007e:20125), Zbl 1092.22002).
 T. Banakh, O. V. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, Topology Appl., 153 (2005), no. 56, 710723 (doi: 10.1016/j.topol.2005.01.004, MR 2201483 (2006k:54048), Zbl 1087.22003).
 O. V. Gutik, Yu. M. Livach, Embediins of topological semigroups into nilpotentgenerated semigroups, Mat. Metody Fiz.Mekh. Polya 48 (2005), no. 4, 6677 (in Ukrainian), (MR 2229292 (2007b:20122), Zbl 1110.20045).
 O. V. Gutik, and K. P. Pavlyk, On topological semigroups of matrix units, Semigroup Forum 71 (2005), no. 3, 389400 (doi: 10.1007/s0023300505300, MR 2204758 (2006m:22003), Zbl 1092.22003).
2006:

 O. V. Gutik, and K. P. Pavlyk, On Brandt λ^{0}extensions of semigroups with zero, Mat. Metody Fiz.Mekh. Polya 49 (2006), no. 3, 2640 (MR 2255060 (2007i:22005), Zbl 1126.22301).
2007:

 I. Chuchman, and O. Gutik, On Hclosed topological semigroups and semilattices, Algebra Discr. Math. (2007), no. 1, 1323 (MR2367511 (2008j:22003), Zbl 1164.06332).
 O. Gutik, and D. Repovš, On 0simple countably compact topological inverse semigroups, Semigroup Forum 75 (2007), no. 2, 464469 (doi: 10.1007/s002330070706x, MR2350768 (2008g:22001), Zbl 1140.22001, arXiv:0804.1437).
2008:

 O. Gutik, and D. Repovš, On linearly ordered Hclosed topological semilattices, Semigroup Forum 77 (2008), no. 3, 474481 (doi: 10.1007/s0023300891024, MR2457332 (2009i:54063), Zbl 1166.22003, arXiv:0804.1438).
2009:

 O. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, Semigroup Forum 78 (2009), no. 2, 326336 (doi: 10.1007/s0023300891122, MR2486644 (2010f:20066), Zbl 1165.22002, arXiv:0804.1439).
 T. Banakh, S. Dimitrova, and O. Gutik, The ReesSuschkewitsch Theorem for simple topological semigroups, Mat. Stud. 31 (2009), no. 2, 211218 (MR2643478 (2011c:22003), Zbl 1199.22004, arXiv:0811.1371).
 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, 201214 (doi: 10.1007/s1047400981448, MR2525561 (2010d:22002), Zbl 1199.22001, arXiv:0807.3102).
 O. Gutik, K. Pavlyk, and A. Reiter, Topological semigroups of matrix units and countably compact Brandt λ^{0}extensions, Mat. Stud. 32 (2009), no. 2, 115131 (MR2643488 (2011b:22002), Zbl 1224.22004, arXiv:0912.0051).
 O. V. Gutik, and A. R. Reiter, Symmetric inverse topological semigroups of finite rank ≤ n, Mat. Metody Fiz.Mekh. Polya 52 (2009), no. 3, 714; reprinted version: J. Math. Sci. 171 (2010), no. 4, 425432 (doi: 10.1007/s109580100147z, MR2676357 (2011e:22002), Zbl 1212.22003, arXiv:0912.0198).
 O. V. Gutik, and K. P. Pavlyk, BruckReilly extension of a semitopological semigroups, Applied Problems of Mech. and Math. 7 (2009), 6672.
2010:

 O. Gutik, and D. Repovš, On Brandt λ^{0}extensions of monoids with zero, Semigroup Forum 80 (2010), no. 1, 832 (doi: 10.1007/s0023300991918, MR2580607 (2011g:22007), Zbl 1201.20057, arXiv:0910.0535).
 O. Gutik, D. Pagon, and D. Repovš, On chains in Hclosed topological pospaces, Order 27 (2010), no. 1, 6981 (doi: 10.1007/s110830109140x, MR2601156 (2011a:54037), Zbl 1221.06021, arXiv:0804.1449).
 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).
 T. Banakh, S. Dimitrova, and O. Gutik, Embedding the bicyclic semigroup into countably compact topological semigroups, Topology Appl. 157 (2010), no. 18, 28032814 (doi: 10.1016/j.topol.2010.08.020, MR2729339 (2012a:54028), Zbl 1217.22001, arXiv:0811.4276).
 I. Chuchman, and O. Gutik, Topological monoids of almost monotone, injective cofinite partial selfmaps of positive integers, Carpathian Math. Publ. 2 (2010), no. 1, 119132 (Zbl 1404.22005, arXiv:1006.4873).
 O. Gutik, and A. Reiter, On semitopological symmetric inverse semigroups of a bounded finite rank, Visn. L’viv. Univ., Ser. Mekh.Mat. 72 (2010), 94106 (in Ukrainian) (Zbl 1240.22003).
2011:

 O. V. Gutik, K. P. Pavlyk, and A. R. Reiter, On topological Brandt semigroups, Mat. Metody Fiz.Mekh. Polya 54 (2011), no. 2, 716 (in Ukrainian); English version in: J. Math. Sci. 184 (2012), no. 1, 111 (doi: 10.1007/s1095801208477, MR2893525 (2012m:22002), Zbl 1274.22003).
 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, 342353 (doi: 10.1556/SScMath.48.2011.3.1176, MR2883245, Zbl 1265.22002, arXiv:1108.2848).
 I. Chuchman, and O. Gutik, On monoids of injective partial selfmaps almost everywhere the identity, Demonstr. Math. 44 (2011), no. 4, 699722 (doi: 10.1515/dema20130340, MR2906425 (2012k:22002), Zbl 1252.22002, arXiv:1009.1338).
 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, 6180 (doi: 10.12697/ACUTM.2011.15.10 , MR2961689, Zbl 1257.20059, arXiv:1111.2401).
 I. Guran, O. Gutik, O. Ravsky, and I. Chuchman, On symmetric topological semigroups and groups, Visn. L’viv. Univ., Ser. Mekh.Mat. 74 (2011), 6173 (in Ukrainian) (Zbl 1249.22002).
 I. Fihel, and O. Gutik, On the closure of the extended bicyclic semigroup, Carpathian Math. Publ. 3 (2011), no. 2, 131157 (Zbl 1404.22006, arXiv:1201.0090).
 O. Gutik, and I. Figel’, Embedding topological semigroups into idempotent generated topological semigroups, Visn. L’viv. Univ., Ser. Mekh.Mat. 75 (2011), 106114 (in Ukrainian) (Zbl 1265.22001).
2012:

 T. Banakh, O. Gutik, O. Potiatynnyk, and A. Ravsky, Metrizability of Clifford topological semigroups, Semigroup Forum 84 (2012), no. 2, 301307 (doi: 10.1007/s0023301193417, MR2898762, Zbl 1250.22002, arXiv:1105.2806).
 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, 511532 (doi: 10.1515/gmj20120022, MR2984503, Zbl 1256.22001, arXiv:1209.0587).
 S. Bardyla, and O. Gutik, On ℋcomplete topological semilattices, Mat. Stud. 38 (2012), no. 2, 118123 (MR3057997, Zbl 1309.22003, arXiv:1301.1152).
 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, 201225 (MR3007298, Zbl 1295.22005, arXiv:1301.1232).
2013:

 O. V. Gutik, and K. P. Pavlyk, Pseudocompact primitive topological inverse semigroups, Mat. Metody Fiz.Mekh. Polya 56 (2013), no. 2, 719; reprinted version: J. Math. Sci. 203 (2014), no. 1, 115 (doi: 10.1007/s1095801420875, MR3155884, Zbl 1313.18002, arXiv:1306.2612).
 O. Gutik, and K. Pavlyk, On pseudocompact topological Brandt λ^{0}extensions of semitopological monoids, Topol. Algebra Appl. 1 (2013), 6079 (doi: 10.2478/taa20130007, Zbl 1291.22003, arXiv:1306.1935).
2014:

 O. Gutik, and I. Pozdnyakova, On monoids of monotone injective partial selfmaps of L_{n}×_{lex}ℤ with cofinite domains and images, Algebra Discr. Math. 17 (2014), no. 2, 256–279 (MR3287933, Zbl 1327.22003, arXiv:1311.6175).
 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).
 O. V. Gutik, and I. V. Pozdniakova, Congruences on the monoid of monotone injective partial selfmaps of L_{n}×_{lex}ℤ with cofinite domains and images, Mat. Metody Fiz.Mekh. Polya 57 (2014), no. 3, 715; reprinted version: J. Math. Sci. 217 (2016), no. 2, 139148 (doi: 10.1007/s1095801629623, MR3379583, MR3532451, Zbl 1342.20058, arXiv:1407.6892).
2015:

 O. Gutik, and O. Ravsky, On feebly compact inverse primitive (semi)topological semigroups, Mat. Stud. 44 (2015), no.1, 326 (MR3494696, Zbl 1356.22002, arXiv:1310.4313).
 O. Gutik, and D. Repovš, On monoids of injective partial cofinite selfmaps, Math. Slovaca 65 (2015), no. 5, 981992 (doi: 10.1515/ms20150067, MR3433049, Zbl 1363.20058, arXiv:1512.03779).
 O. V. Gutik, and O. V. Ravsky, Pseudocompactness, products and Brandt λ^{0}extensions of semitopological monoids, Mat. Metody Fiz.Mekh. Polya 58 (2015), no. 2, 2037; reprinted version: J. Math. Sci. 223 (2017), no. 1, 1838 (doi: 10.1007/s1095801733352, MR3640275, Zbl 1349.22003, arXiv:1510.05096).
 O. Gutik, On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero, Visn. L’viv. Univ., Ser. Mekh.Mat. 80 (2015), 3341 (arXiv:1509.02148).
 O. Gutik, and K. Mel’nyk, The semigroup of monotone cofinite partial homeomorphisms of the real line, Mathematical Bulletin of the Shevchenko Scientific Society 12 (2015), 2440 (in Ukrainian) (arXiv:1904.06647, Zbl 1363.20057).
2016:

 S. Bardyla, and O. Gutik, On a semitopological polycyclic monoid, Algebra Discr. Math. 21 (2016), no. 2, 163183 (arXiv:1601.01151, MR3537444, Zbl 1359.22003).
 O. Gutik, On the group of automorphisms of the Brandt λ^{0}extension of a monoid with zero, Proceedings of the 16th ITAT Conference Information Technologies – Applications and Theory (ITAT 2016), Tatranske Matliare, Slovakia, September 1519, 2016. CEURWS, Bratislava, 2016, p. 237240 (arXiv:1609.06085).
 S. Bardyla, and O. Gutik, On a complete topological inverse polycyclic monoid, Carpathian Math. Publ. 8 (2016), no. 2, 183194 (doi: 10.15330/cmp.8.2.183194, arXiv:1603.08147, MR3599777, Zbl 1359.22002).
 O. Gutik, Topological properties of Taimanov semigroups, Mathematical Bulletin of the Shevchenko Scientific Society 13 (2016), 2934 (arXiv:1612.08677, Zbl 1374.22002).
 O. Gutik, and I. Pozdniakova, On the monoid of monotone injective partial selfmaps of ℕ^{2}_{≤} with cofinite domains and images, Visn. L’viv. Univ., Ser. Mekh.Mat. 81 (2016), 100116 (arXiv:1602.06593).
 O. Gutik, and O. Sobol, On feebly compact topologies on the semilattice exp_{n}λ, Mat. Stud. 46 (2016), no. 1, 2943 (doi: 10.15330/ms.46.1.2943, MR3649046, Zbl 1377.22003, arXiv:1606.00395).
 O. Gutik, and K. Maksymyk, On semitopological interassociates of the bicyclic monoid, Visn. L’viv. Univ., Ser. Mekh.Mat. 82 (2016), 98108 (arXiv:1609.07768).
 O. Gutik, and I. Pozdniakova, On the monoid of monotone injective partial selfmaps of ℕ^{2}_{≤} with cofinite domains and images, II, Visn. L’viv. Univ., Ser. Mekh.Mat. 82 (2016), 109127 (arXiv:1701.08015).
 O. Gutik, and O. Sobol, On feebly compact shiftcontinuous topologies on the semilattice exp_{n}λ, Visn. L’viv. Univ., Ser. Mekh.Mat. 82 (2016), 128136 (arXiv:1702.06105).
 O. Gutik, and K. Maksymyk, On semitopological bicyclic extensions of linearly ordered groups, Mat. Metody Fiz.Mekh. Polya 59 (2016), no. 4, 3143; reprinted version: J. Math. Sci. 238 (2019), no. 1, 3245 (doi: 10.1007/s1095801904216x, MR3924887, Zbl 1399.22007, arXiv:1608.00959).
2017:

 S. Bardyla, O. Gutik, and A. Ravsky, Hclosed quasitopological groups, Topology Appl. 217 (2017), 5158 (doi: 10.1016/j.topol.2016.12.003, MR3591199, Zbl 1354.22002, arXiv:1506.08320).
 O. Gutik, and A. Savchuk, On the semigroup ID_{∞}, Visn. L’viv. Univ., Ser. Mekh.Mat. 83 (2017), 519 (in Ukrainian) (arXiv:1904.06644).
 O. Gutik, On feebly compact semitopological symmetric inverse semigroups of a bounded finite rank, Visn. L’viv. Univ., Ser. Mekh.Mat. 83 (2017), 4257 (arXiv:1708.02064).
 O. Gutik, and K. Maksymyk, On variants of the bicyclic extended semigroup, Visn. L’viv. Univ., Ser. Mekh.Mat. 84 (2017), 2237 (arXiv:1805.04995).
2018:

 O. Gutik, On locally compact semitopological 0bisimple inverse ωsemigroups, Topol. Algebra Appl. 6 (2018), 77101 (doi: 10.1515/taa20180008, MR3794938, Zbl 1421.22001, arXiv:1703.01434).
 O. Gutik, and A. Savchuk, The semigroup of partial cofinite isometries of positive integers, Bukovyn. Mat. Zh. 6 (2018), no.12, 4251 (in Ukrainian) (doi:10.31861/bmj2018.01.042, Zbl 1424.22002, arXiv:1904.06638).
 O. Gutik, and A. Ravsky, On old and new classes of feebly compact spaces, Visn. L’viv. Univ., Ser. Mekh.Mat. 85 (2018), 4859 (arXiv:1804.07454).
 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), 91102 (in Ukrainian) (doi: 10.30970/vmm.2018.86.091102, arXiv:1905.10736).
 O. V. Gutik, and O. Yu. Sobol, On feebly compact semitopological semilattice exp_{n}λ, Mat. Metody Fiz.Mekh. Polya 61 (2018), no. 3, 1623; reprinted version: Journal of Mathematical Sciences 254 (2021), no. 1, 1320 (doi: 10.1007/s10958021052848, MR4229020, Zbl 1438.20073, arXiv:1804.08239).
2019:

 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), 536 (doi: 10.30970/vmm.2019.87.005036, arXiv:1906.08329).
 O. Gutik, and A. Savchuk, On inverse submonoids of the monoid of almost monotone injective cofinite partial selfmaps of positive integers, Carpathian Math. Publ. 11 (2019), no. 2, 296310 (doi: 10.15330/cmp.11.2.296310, MR4049629, Zbl 1474.20121, arXiv:1904.11802).
 O. Gutik, and A. Savchuk, On the monoid of cofinite partial isometries of ℕ^{n} with the usual metric, Proc. Int. Geom. Cent. 12 (2019), no. 3, 5168 (doi: 10.15673/tmgc.v12i3.1553, MR4053279, Zbl 1452.20058, arXiv:1909.08823).
 O. Gutik, and K. Maksymyk, On a semitopological extended bicyclic semigroup with adjoined zero, Mat. Metody Fiz.Mekh. Polya 62 (2019), no. 4, 2838 (MR4478535, Zbl 1488.22002, arXiv:1911.05977).
 O. Gutik, and O. Krokhmalna, The monoid of monotone injective partial selfmaps of the poset (ℕ^{3},≤) with cofinite domains and images, Visn. L’viv. Univ., Ser. Mekh.Mat. 88 (2019), 3250 (doi: 10.30970/vmm.2019.88.032050, arXiv:2006.04481).
2020:

 O. Gutik, and T. Mokrytskyi, The monoid of order isomorphisms between principal filters of ℕ^{n}, Eur. J. Math. 6 (2020), no. 1, 1436 (https://doi.org/10.1007/s40879019003285, MR4071454, arXiv:1802.03598).
 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, 7687 (https://doi.org/10.1515/taa20200007, Zbl 1441.22003, MR4083576, arXiv:1902.08895).
 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).
 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) 1730 (doi: 10.30970/vmm.2020.89.017030, Zbl 1474.20127, arXiv:2008.03159).
 O. Gutik, and M. Mykhalenych, On some generalization of the bicyclic monoid, Visn. L’viv. Univ., Ser. Mekh.Mat. 90 (2020), 519 (doi: 10.30970/vmm.2020.90.005019, arXiv:2107.14118) (in Ukrainian).
 O. Gutik, and P. Khylynskyi, Polycyclic extensions of semigroups, Visn. L’viv. Univ., Ser. Mekh.Mat. 90 (2020), 2047 (doi: 10.30970/vmm.2020.90.020047, arXiv:2107.14408) (in Ukrainian).
2021:

 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/s0023302110184z, MR4276603, arXiv:1910.00436).
 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 2427, 2021. Sciendo, De Gruyter Poland Sp. z o.o. Warsaw, Poland, 2021, P. 127144 (https://doi.org/10.2478/9788366675360010, arXiv:2104.14149).
 O. V. Gutik, and I. V. Pozdniakova, On the semigroup generating by extended bicyclic semigroup and an ωclosed family, Mat. Metody Fiz.Mekh. Polya 64 (2021), no. 1, 2134 (arXiv:2107.14075) (in Ukrainian).
 O. Gutik, and M. Mykhalenych, On group congruences on the semigroup Ɓ_{ω}^{ℱ} and its homomorphic retracts in the case when a family ℱ consists of inductive nonempty subsets of ω, Visn. L’viv. Univ., Ser. Mekh.Mat. 91 (2021), 527 (arXiv:2108.09543) (in Ukrainian).
 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), 4053 (arXiv:2202.08308).
 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), 516 (arXiv:2202.00073) (in Ukrainian).
 O. Gutik, and O. Lysetska, On the semigroup Ɓ_{ω}^{ℱ} which is generated by the family ℱ of atomic subsets of ω, Visn. L’viv. Univ., Ser. Mekh.Mat. 92 (2021), 3450 (arXiv:2108.11354).
2022:

 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, 233245 (https://doi.org/10.1515/taa20220130, arXiv:2112.15000).
 O. Gutik, and O. Popadiuk, On the semigroup of injective endomorphisms of the semigroup Ɓ_{ω}^{ℱn} which is generated by the family ℱ_{n} of finite bounded intervals of ω, Mat. Metody Fiz.Mekh. Polya 65 (2022), no. 12, 4257 (arXiv:2209.08377).
 O. Gutik, O. Prokhorenkova, On homomorphisms of bicyclic extensions of archimedean totally ordered groups, Visn. L’viv. Univ., Ser. Mekh.Mat. 93 (2022), 4253 (in Ukrainian) (arXiv:2306.01294).
 O. Gutik, M. Mykhalenych, On automorphisms od the semigroup Ɓ_{ω}^{ℱ} in the case when the family ℱ consists of nonempty inductive subsets of ω, Visn. L’viv. Univ., Ser. Mekh.Mat. 93 (2022), 5465 (in Ukrainian) (arXiv:2306.07844).
 O. Gutik, and I. Pozdniakova, On the semigroup of injective monoid endomorphisms of the monoid Ɓ_{ω}^{ℱ} with the twoelements family ℱ of inductive nonempty subsets of ω, Visn. L’viv. Univ., Ser. Mekh.Mat. 94 (2022), 3255 (arXiv:2307.15481).
 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), 5671.
2023:

 O. Gutik, and M. Mykhalenych, On a semitopological semigroup Ɓ_{ω}^{ℱ} when a family ℱ consists of inductive nonempty subsets of ω, Mat. Stud. 59 (2023), no. 1, 2028 (https://doi.org/10.30970/ms.59.1.2028, arXiv:2212.05522).
 O. Gutik, and I. Pozdniakova, On the group of automorphisms of the semigroup Ɓ_{ℤ}^{ℱ} with the family ℱ of inductive nonempty subsets of ω, Algebra Discrete Math. 35 (2023), no. 1, 4261 (https://doi.org/10.12958/adm2010, arXiv:2206.12819).
 O. Gutik, and O. Popadiuk, On the semigroup Ɓ_{ω}^{ℱn} which is generated by the family ℱ_{n} of finite bounded intervals of ω, Carpatian Math. Publ. 15 (2023), no. 2, 331355 (https://doi.org/10.15330/cmp.15.2.331355, arXiv:2208.09155).

Papers in Press or in Preparation
 O. Gutik, and I. Pozdniakova, On the semigroup of monoid endomorphisms of the monoid Ɓ_{ω}^{ℱ} with the twoelements family ℱ of inductive nonempty subsets of ω, Preprint (in preparation).
Unpublished preprint


 M. Cencelj, O. Gutik, and D. Repovš, On some generalization of the bicyclic semigroup: the topological version, Preprint.
 M. Cencelj, O. Gutik, and D. Repovš, On ℋclosed pospaces with compact maximal antichains, Preprint.
 O. Gutik, and K. Mel’nyk, Congruences on the semigroup of monotone cofinite partial homeomorphisms of the real line, Preprint (in Ukrainian).
 O. Gutik, and D. Repovš, On embedding of topological semigroups into countably compact topological semigroups, Preprint.

Abstracts of Conference Reports


 O. V. Gutik, On embeddings of topological semigroups into simple semigroups, V Accounting Conference of Ukrainian Academy of Printing, Lviv, January 35, 1995. Abstracts of Reports. Lviv, Ukrainian Academy of Printing, 1995, P. 122 (in Ukrainian).
 O. V. Gutik, On an embedding of a topological semigroup into a pathconnected topological semigroup, IV International Scientific Conference in Honor of Academician M. Kravchuk. Abstracts of Reports. Kyiv, 1995, P. 83 (in Russian).
 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).
 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 2529, 1997. Abstracts of Reports. Kyiv, 1997, P. 3031.
 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 2528, 1998. Materials. Lviv, 1998, P. 260261.
 T. O. Banakh, I. Yo. Guran, and O. V. Gutik, Free topological inverse semigroups, International Scientific Conference “Modern Problems of Mathematics”, Chernivtsi, June 2530, 1998. Proceedings. ChernivtsiKyiv. (1998), 2124.
 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. VinnytsyaKyiv, May 916, 1999. Materials. Vinnytsya, 1999, P. 1819.
 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 29, 1999. Abstracts of Reports. St.Petersburg, 1999, P. 83.
 O. V. Gutik, On some class оf topological pospaces, International Conference “Nonlinear Partial Differential Equations” dedicated to J. P. Schauder. Lviv, August 2329, 1999. Abstracts. Lviv, 1999, P. 83.
 O. V. Gutik, and K. P. Pavlyk The Hclosedness of topological inverse semigroups and topological Brandt λextensions, XVI Open Scientific and Technical Conference of Young Scientists and Specialists of the Karpenko PhysicoMechanical Institute of NASU. Lviv, May 1618, 2001. Abstracts. Lviv, 2001, P. 71.
 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 2829, 2001. Abstracts of Reports. Lviv, 2001, P. 6.
 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 2829, 2001. Abstracts of Reports. Lviv, 2001, P. 68.
 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 28, 2001. Proceedings. Sumy, 2001, P. 1314.
 O. V. Gutik, and K. P. Pavlyk, On topological semigroups of matrix units, Third International Algebraic Conference in Ukraine. Sumy, July 28, 2001. Proceedings. (2001), 4245.
 O. V. Gutik, On homomorphisms of topological cancellative semigroups, Ukrainian Mathematical Congress2001. Section 1: Algebra and Number Theory. Kyiv, August 2123, 2001. Abstracts of Reports. Kyiv, 2001, P. 21.
 O. V. Gutik, and K. P. Pavlyk On homomorphisms of topological semigroups of matrix units, International Conference “Differential Equations and NonLinear Oscilations”. Chernivtsi, August 2729, 2001р. Abstracts of Reports. Kyiv, 2001, P. 183.
 O. V. Gutik, and K. P. Pavlyk, Hclosed topological semigroups and topological Brandt λextensions, International Algebraic Conference. Uzhgorod, August 2729, 2001р. Abstracts of Reports. Uzhgorod, 2001, P. 13.
 O. V. Gutik, On topological Brandt λextensions 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 2324, 2002. Abstracts of Reports. Lviv, 2002, P. 56.
 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, 2831, 2002. Book of Abstracts. Lviv, 2002, P. 2526.
 O. V. Gutik, and K. P. Pavlyk, Topological Brandt λextensions of absolutely Hclosed topological inverse semigroups, International Algebraic Conference Dedicated to the Memory of Z. I. Borevich, St.Petersburg, Russia. Proceedings.(2002), 99103.
 O. V. Gutik, and K. P. Pavlyk, On Hclosed topological semigroups and Brandt λextensions, International Mathematical Conference Honoring D. A. Grave’s 100th Year Since the Begining of His Work at Kyiv University. Kyiv, June 1722, 2002. Kyiv, 2002, P. 2930.
 O. V. Gutik, and Yu. Livach, Embeddings of semigroups into nilpotentgenerated semigroups, IV International Scientific Conference “Mathematical Problems of the Mechanics of NonHomogeneous Structures”. Lviv, May 2629, 2003. Proceedings. Lviv, 2003, P. 487488.
 O. V. Gutik, and K. P. Pavlyk, Topological Brandt λ^{0}extensions of topological semigroups with zero, IV International Scientific Conference “Mathematical Problems of the Mechanics of NonHomogeneous Structures”. Lviv, May 2629, 2003. Proceedings. Lviv, 2003, P. 489490.
 O. V. Gutik, and K. P. Pavlyk, On Hclosed topological semigroups and Brandt λ^{0}extensions, International Conference “Complex Analysis and its Applications”. Lviv, May 2629, 2003. Abstracts. Lviv, 2003, P. 2930.
 T. O. Banakh, O. V. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, V Iberoamerican Conference on General Topology and its Applications. CITA2003. Lorca, June 1014, 2003. Lorca, 2003, P. 61.
 O. V. Gutik, On Hclosed topological semigroups, First Summer School on Topological Algebra and Functional Analysis. LvivKozeva, July 2231, 2003. Lviv, 2003, P. 2324.
 T. Banakh, O. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, IV International Algebraic Conference in Ukraine. Lviv, August 49, 2003. Abstracts. Lviv, 2003, P. 2930.
 O. V. Gutik, and K. P. Pavlyk, On Brandt λ^{0}extensions of semigroups with zero, IV International Algebraic Conference in Ukraine. Lviv, August 49, 2003. Abstracts. Lviv, 2003, P. 8889.
 O. V. Gutik, On some topological version of the Rees Quotient Theorem , International Conference “6th Bogolyubov Readings”. Chernivts, August 2630, 2003. Abstracts of Reports. Kyiv, 2003, P. 280.
 O. V. Gutik, and Yu. M. Livach, Embeddings of topological semigroups , Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 2426, 2004. Abstracts of Reports. Lviv, 2004, P. 6566 (in Ukrainian).
 O. V. Gutik, and K. P. Pavlyk, Compact congruencefree topological semigroups, International Conference “Geometric Topology: InfiniteDimensional Topology, Absolute Extensors, Applications”. Lviv, May 2630, 2004. Book of Abstracts. Lviv, 2004, P. 2426.
 O. Gutik, and K. Pavlyk, On compact congruencefree topological inverse semigroups, International Conference dedicated to the 125th anniversary of Hans Hahn. Chernivtsi. June 27July 3, 2004. Book of Abstracts. Chernivtsi, 2004, P. 128130.
 O. V. Gutik, Topological inverse semigroups, Second Summer School in Algebra and Topology. LvivDolyna, August 214, 2004. Programs of Invited Lectures and Abstracts of Research Reports. Lviv, 2004, P. 6.
 O. V. Gutik, On linearly ordered Hclosed topological semilattices, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 2427, 2005. Abstracts of Reports. Lviv, 2005, P. 245246.
 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 2427, 2005. Abstracts of Reports. Lviv, 2005, P. 247248.
 O. V. Gutik, On Hclosed topological semilattices, Fifth International Algebraic Conference in Ukraine. Odessa, July 2027, 2005. Abstracts. Odessa, 2005. P. 82.
 O. V. Gutik, and K. P. Pavlyk, On absolutely Hclosed topological semigroups and Brandt λ^{0}extensions, Fifth International Algebraic Conference in Ukraine. Odessa, July 2027, 2005. Abstracts. Odessa, 2005. P. 8384.
 O. Gutik, and K. Pavlyk, Pseudocompact semitopological semigroups of matrix units, Third Summer School in Algebra, Analysis and Topology. LvivKozyova, August 920, 2005. Invited Lectures and Abstracts of Research Reports. Lviv, 2005. P. 137139.
 O. V. Gutik, and V. Ye. Mel’nyk, On homomorphisms of cancellative topological semigroups, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, LvivKozyova July 1729, 2006. Invited Lectures and Abstracts of Research Reports, Lviv, 2006, C. 139.
 O. V. Gutik, and K. P. Pavlyk, On Brandt λ^{0}extensions of topological semigroups with zero, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, LvivKozyova July 1729, 2006. Invited Lectures and Abstracts of Research Reports, Lviv, 2006, C. 139142.
 I. Chuchman, and O. Gutik, Hclosed topological semigroups and semilattices, 6th International Algebraic Conference in Ukraine. KamyanetsPodil’sky, July 17, 2007. Abstracts. KamyanetsPodil’sky, 2007, P. 4951.
 O. Gutik, and K. Pavlyk, Brandt λ^{0}extensions and Hclosed topological semigroups, 6th International Algebraic Conference in Ukraine. KamyanetsPodil’sky, July 17, 2007. Abstracts. KamyanetsPodil’sky, 2007, P. 8890.
 O. Gutik, and D. Repovš, On countably compact 0simple topological inverse semigroups, 6th International Algebraic Conference in Ukraine. KamyanetsPodil’sky, July 17, 2007. Abstracts. KamyanetsPodil’sky, 2007, P. 9092.
 O. Gutik, and I. Chuchman, On Hclosed topological semilattices, Conference on Algorithmic Complexity and Universal Algebra. Dedicated to 75th birthday of Bela Csakany. Szeged, Hungary, July 1620, 2007. Abstracts. Bolyai Institute, University of Szeged, 2007, P. 56.
 O. Gutik, and A. Reiter, On countably compact FrechetUrysohn coungruencefree topological semigroups, Fifth Summer School ”Algebra, Topology and Analysis”. LvivKozyova, August 618, 2007. Invited Lectures and Abstracts of Research Reports, Lviv, 2007, C. 4041.
 O. Gutik, and A. Reiter, On Brandt λμextensions of semigroups, International Conference “Modern Problems in Mechanics and Mathematics”. Lviv, May, 2529, 2008. Preceedings. In 3 volumes. Vol. 3. Lviv, 2008, P. 212214.
 O. Gutik, and D. Repovš, On linearly ordered Hclosed topological semilattices, International Conference “Analysis and Topology”. Lviv, June 27, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 2627.
 K. Pavlyk, and O. Gutik, Countably compact primitive topological inverse semigrous, International Conference “Analysis and Topology”. Lviv, June 27, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 4849.
 A. Reiter, and O. Gutik, On a topological semigrou finite transformations of a Hausdorff topological space, International Conference “Analysis and Topology”. Lviv, June 27, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 5960.
 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 2527, 2009. Abstracts of Reports, Lviv (2009) 191193.
 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 2527, 2009. Abstracts of Reports, Lviv (2009) 193194.
 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 27June 1, 2009, IvanoFrankivsk. Abstracts of Reports. IvanoFrankivsk, 2009. P. 5255.
 O. Gutik, and K. Pavlyk, On countably compact Brandt $\lambda^0$extensions of topological semigroups, International Conference Infinite Dimensional Analysis And Topology, May 27June 1, 2009, IvanoFrankivsk. Abstracts of Reports. IvanoFrankivsk, 2009. P. 5558.
 O. Gutik, and A. Reiter, On embeddings and the Hclosedness of topological semigroups of partial finite bijections, International Conference “Infinite Dimensional Analysis And Topology”, May 27June 1, 2009, IvanoFrankivsk. Abstracts of Reports. IvanoFrankivsk, 2009. P. 5861.
 O. Gutik, and A. Reiter, On absolute Hclosedness 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 813, 2009, Chernivtsi. Abstracts of Reports. Chernivtsi, 2009. P. 235236.
 T. Banakh, S. Dimitrova, and O. Gutik, The ReesSuschkewitsch Theorem for simple topological semigroups, 7th Algebraic Conference in Ukraine, 1823 August, 2009. Kharkov. Abstract of Talks. Kharkov, 2009, P. 1820.
 O. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, 7th Algebraic Conference in Ukraine, 1823 August, 2009. Kharkov. Abstract of Talks. Kharkov, 2009, P. 6364.
 K. Pavlyk, O. Gutik, and A. Reiter, On topological semigroups of matrix units, The 14th general meeting of EWM, August 2528, 2009, Novi Sad, Serbia. Book of Abstracts 2. Novi Sad, 2009. http://ewm2009.files.wordpress.com/2009/08/abstracts26.pdf.
 O. Gutik, D. Pagon, and D. Repovš, On sequential countably compact topological semigroups, Ukrainian Mathematical Congress – 2009, Kyiv, Institute of Mathematics of NASU, August 2729, 2009. http://www.imath.kiev.ua/~congress2009/Abstracts/Gutik.pdf.
 O. V. Gutik, and K. P. Pavlyk, On pseudocompact topological inverse Brandt semigroups, Pidstryhach Conference 2010, May 2526, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc201002GP07.pdf.
 O. V. Gutik, and A. R. Reiter, On semitopological symmetric inverse semigroups of a bounded finite rank, Pidstryhach Conference 2010, May 2526, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc201002GR08.pdf.
 O. V. Gutik, and I. Figel’, On embedings of topological semigroups into idempotentgenerated semigroups, Pidstryhach Conference 2010, May 2526, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc201002GF09.pdf.
 I. Ya. Chuchman, and O. V. Gutik, Topological monoids of almost monotone injective cofinite partial selfmaps of positive integers, Pidstryhach Conference 2010, May 2526, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc201002CG38.pdf.
 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 (19302008). Lviv, Ukraine, May 31June 5, 2010. Abstracts. Lviv, 2010, P. 89.
 O. Gutik, and D. Repovš, Brandt λ^{0}extensions of monoids with zero, AAA80 Workshop on General Algebra in connection with the Workshop on NonClassical Algebraic Structures, June 16, 2010, Bedlewo, Poland. Abstracts. Warsaw, 2010. P. 7982, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/19.pdf.
 O. Gutik, and K. Pavlyk, On some semigroup constructions, AAA80 Workshop on General Algebra in connection with the Workshop on NonClassical Algebraic Structures, June 16, 2010, Bedlewo, Poland. Abstracts. Warsaw, 2010. P. 139, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/37.pdf.
 I. Chuchman, and O. Gutik, Topological inverse monoids of almost monotone injective cofinite partial selfmaps of positive integers, Summer School Algebra, Analysis and Topology, 5 July16 July, 2010, Verkhovyna. IvanoFrankivsk, 2010, P. 1315.
 O. Gutik, and A. Reiter, On semitopological inverse semigroups of a bounded finite rank, Summer School Algebra, Analysis and Topology, 5 July16 July, 2010, Verkhovyna. IvanoFrankivsk, 2010, P. 1618.
 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 September3 October, 2010, Chernivtsi. Abstracts of Reports, Chernivtsi, 2010, P. 156157.
 O. Gutik, On chains in ℋclosed pospaces, International Conference “Modern Problems of Analysis”. Dedicated to 70th Anniversary of the Chair of Mathematical Analysis at Chernivtsi University, 30 September3 October, 2010, Chernivtsi. Abstracts of Reports, Chernivtsi, 2010, P. 162164.
 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 1721, 2010. L’viv, 2010, P. 3233.
 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 1721, 2010. L’viv, 2010, P. 42.
 O. Gutik, K. Pavlyk, and A. Reiter, On complete Brandt λ^{0}extensions of topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L’viv, Ukraine, November 1721, 2010. L’viv, 2010, P. 4344.
 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 2427, 2011. Abstracts of Reports, Lviv, 2011, P. 261262.
 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 512, 2011. Book of Abtracts. Luhansk, 2011, P. 255.
 I. Figel’, and O. Gutik, On a topological semigroup C_{Z}, 8th Summer School “Algebra, Analysis, Topology and Applications”, Lazurne, Kherson Region, July 515, 2011. Book of Abtracts. Kherson, 2011, P. 1314.
 O. Gutik, On a semigroup of injective partial cofinite selfmaps, 8th Summer School “Algebra, Analysis, Topology and Applications”, Lazurne, Kherson Region, July 515, 2011. Book of Abtracts. Kherson, 2011, P. 1617.
 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 515, 2011. Book of Abtracts. Kherson, 2011, P. 1718.
 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 2325, 2012. Abtracts. Lisboa, 2012, P. 3840.
 O. Gutik, On ℋcomplete topological semilattices, Conference “Semigroups and Applications” , August 29September 2, 2012, Uppsala University, Uppsala, Sweden. Abstracts. 2012, P. 11.
 S. Bardyla, and O. Gutik, An example of an ℋcomplete topological semilattice which is not Aℋ–complete, International Conference dedicated to the 120th anniversary of Stefan Banach, September 1721, 2012, Lviv, Ukraine, Abstracts of Reports. L’viv, 2012, P. 76.
 O. Gutik, On some generalization of the bicyclic semigroup: the topological version, International Conference dedicated to the 120th anniversary of Stefan Banach, September 1721, 2012, Lviv, Ukraine, Abstracts of Reports. L’viv, 2012, P. 84.
 K. Pavlyk, and O. Gutik, On categories of pseudocompact topological Brandt λ^{0}extensions of semitopological semigroups, International Conference dedicated to the 120th anniversary of Stefan Banach, September 1721, 2012, Lviv, Ukraine, Abstracts of Reports. L’viv, 2012, P. 102103.
 S. Bardyla, and O. Gutik, On ℋcomplete topological semilattices, 9th International Algebraic Conference in Ukraine, July 813, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 20.
 O. Gutik, On ℋcomplete topological pospaces, 9th International Algebraic Conference in Ukraine, July 813, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 72.
 O. Gutik, and K. Pavlyk, On pseudocompact primitive topological inverse semigroups, 9th International Algebraic Conference in Ukraine, July 813, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 73.
 O. Gutik, and I. Pozdnyakova, On the semigroup of monotone cofinite partial bijections of ℕ ^{2}_{≤}, 9th International Algebraic Conference in Ukraine, July 813, 2013, L’viv, Ukraine. Book of abstracts. L’viv, 2013, P. 74.
 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/program2014.
 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. 228229.
 K. Chepil, and O. Gutik, On the semigroup of all monotone cofinite partial homeomorphisms of the real line, The International Algebraic Conference dedicated to 100th anniversary of L. A. Kaluzhnin, Kyiv, July 712, 2014. Abstracts of Reports. Kyiv, 2014, P. 96.
 O. Gutik, Groups of automorphisms of Brandt λ^{0}extensions of monoids with zero, The International Algebraic Conference dedicated to 100th anniversary of L. A. Kaluzhnin, Kyiv, July 712, 2014. Abstracts of Reports. Kyiv, 2014, P. 97.
 O. Gutik, and I. Pozdnyakova, Congruences on the monoid of monotone injective partial selfmaps of L_{n}x_{lex}ℤ with cofinite domains and images, IXth Summer Schooll “Algebra, Topology, and Analysis”, July 718, 2014, Polianytsia, Ukraine. Book of abstracts. IvanoFrankivs’k, 2014, P. 45.
 O. Gutik, and O. Ravskyi, Pseudocompactness, products and Brandt λ^{0}extensions of semitopological monoids, IXth Summer Schooll “Algebra, Topology, and Analysis”, July 718, 2014, Polianytsia, Ukraine. Book of abstracts. IvanoFrankivs’k, 2014, P. 56.
 S. Bardyla, and O. Gutik, On a semitopological λpolycyclic monoid, Scientific Conference Dedicated to 100 Anniversary of Birthdays of K. M. Fishman and M. K. Fague, July 14, 2015, Chernivtsi, Ukraine. Book of abstracts. Chernivtsi, 2015, P. 134135.
 O. Gutik, Hclosed pospaces and semitopological semilattices, Scientific Conference Dedicated to 100 Anniversary of Birthdays of K. M. Fishman and M. K. Fague, July 14, 2015, Chernivtsi, Ukraine. Book of abstracts. Chernivtsi, 2015, P. 138139.
 O. Gutik, Compact topological semigroups, Xth Summer School “Algebra, Topology, Analysis”, August 315, 2015, Odessa, Ukraine. Book of Abstracts. Institute of Mathematics of NAS of Ukraine, Kyiv, 2015, P. 5.
 S. Bardyla, O. Gutik, and A. Ravsky, Hclosed quasitopological groups, Xth Summer School “Algebra, Topology, Analysis”, August 315, 2015, Odessa, Ukraine. Book of Abstracts. Institute of Mathematics of NAS of Ukraine, Kyiv, 2015, P. 67.
 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 2027, 2015, Odessa, Ukraine. Abstracts. I. I. Mechnikov Odessa National University, Odessa, 2015. P. 46.
 O. Gutik, and K. Melnyk, The semigroup of monotone cofinite partial homeomorphisms of the real line, X International Algebraic Conference in Ukraine dedicated to the 70th anniversary of Yu. A. Drozd, August 2027, 2015, Odessa, Ukraine. Abstracts. I. I. Mechnikov Odessa National University, Odessa, 2015. P. 47.
 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 2027, 2015, Odessa, Ukraine. Abstracts. I. I. Mechnikov Odessa National University, Odessa, 2015. P. 48.
 O. Gutik, and K. Maksymyk, Semitopological bicyclic extensions of linearly ordered groups, International Conference “Complex Analysis and Related Topics”, May 30June 4, 2016, Lviv. Abstracts. Lviv, 2016, P. 30.
 O. Gutik, and O. Sobol, Feebly compact topologies on the semilattice exp_{n}(λ), International Conference “Complex Analysis and Related Topics”, May 30June 4, 2016, Lviv. Abstracts. Lviv, 2016, P. 3132.
 S. Bardyla, O. Gutik, and A. Ravsky, Hclosed quasitopological groups, International Conference “Geometry and topology in Odessa – 2016”, 2 – 8 June, 2016, Odessa, Ukraine. Abstracts. Odessa, 2016, P. 13.
 S. Bardyla, O. Gutik, and A. Ravsky, Hclosed quasitopological groups, 7th European Congress of Mathematics, July 1822, 2016, Technische Universität Berlin, Book of Abstracts, Berlin, 2016, P. 379.
 S. Bardyla, and O. Gutik, On the embeddings and closures of a topological λpolycyclic monoid, XIth Summer School “Algebra, Topology, Analysis”, August 114, 2016, Odessa, Ukraine. Book of Abstracts. Institute of Mathematics of NAS of Ukraine, Kyiv, 2016, P. 34.
 S. Bardyla, and O. Gutik, On the embeddings and closures of the topological λpolycyclic monoid, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 9.
 O. Gutik, On locally compact semitopological 0bisimple inverse ωsemigroups, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 21.
 K. Maksymyk, and O. Gutik, On semitopological interassociates of the bicyclic monoid, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 3132.
 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 27October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 42.
 O. Sobol, and O. Gutik, Feebly compact topologies on the semilattice exp_{n}λ, International Conference dedicated to the 120th anniversary of Kazimierz Kuratowski, September 27October 1, 2016, Lviv, Ukraine. Abtract of Reports. Lviv, 2016, P. 48.
 O. Gutik, Locally compact semitopological 0bisimple inverse ωmonoids, International Mathematical Conference “Groups and Actions: Geometry and Dynamics” dedicated to the memory of Professor Vitaly Sushchanskyy, December 1922, 2016, Taras Shevchenko National University of Kyiv, Ukraine. Abtract of Reports. Kyiv, 2016, P. 24.
 I. Pozdniakova, and O. Gutik, On the monoid of monotone injective partial selfmaps of ℕ^{2} with cofinite domains and images, International Mathematical Conference “Groups and Actions: Geometry and Dynamics” dedicated to the memory of Professor Vitaly Sushchanskyy, December 1922, 2016, Taras Shevchenko National University of Kyiv, Ukraine. Abtract of Reports. Kyiv, 2016, P. 39.
 O. Gutik, Topological properties of Taimanov semigroups, 11th International Algebraic Conference in Ukraine dedicated to the 75th anniversary of V. V. Kirichenko, July 37, 2017, Kyiv, Ukraine. Abstracts, Kyiv, 2017, P. 51.
 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 37, 2017, Kyiv, Ukraine. Abstracts, Kyiv, 2017, P. 119.
 O. Gutik, Around compact (semi)topological semigroups, XIIth Summer School, “Algebra, Topology, Analysis”, July 1023 2017, Kolochava, Ukraine. Abstracts of Reports. Kyiv, 2017, P. 32.
 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, 1823 September 2017. Book of Abstracts, Lviv. 2017, P. 62.
 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, 1823 September 2017. Book of Abstracts, Lviv. 2017, P. 74.
 A. Savchuk, and O. Gutik, The semigroup of partial cofinite 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).
 O. Sobol, and O. Gutik, On feebly compact semitopological semilattice exp_{n}λ,, 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. 262263, http://www.iapmm.lviv.ua/mpmm2018.
 O. Gutik, Feebly compact semitopological symmetric inverse semigroups of a bounded finite rank, Conference “Dynamical methods in Algebra, Geometry and Topology”, 46 July, 2018. Udine, Italy. P. 4, https://dagt.uniud.it/abstracts/.
 O. Gutik, and O. Krokhmalna, The monoid of monotone injective partial selfmaps of the poset (ℕ^{3},≤) with cofinite domains and images, The 13th Summer School “Analysis, Topology and Applications”, 29 July – 11 August, 2018, Vyzhnytsya, Chernivtsi region, Ukraine. Book of Abstracts, Chernivtsi, 2018, P. 1415.
 O. Gutik, and A. Ravsky, On old and new classes of feebly compact spaces, The 13th Summer School “Analysis, Topology and Applications”, 29 July – 11 August, 2018, Vyzhnytsya, Chernivtsi region, Ukraine. Book of Abstracts, Chernivtsi, 2018, P. 1517.
 K. Maksymyk, and O. Gutik, On variants of the bicyclic extended semigroup, The 13th Summer School “Analysis, Topology and Applications”, 29 July – 11 August, 2018, Vyzhnytsya, Chernivtsi region, Ukraine. Book of Abstracts, Chernivtsi, 2018, P. 2932.
 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, 1720 September 2018. Abstracts. Wrocław, 2018, P. 221.
 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.
 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.
 O. Gutik, and A. Savchuk, On inverse submonoids of the monoid of almost monotone injective cofinite 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. IvanoFrankivsk, 2019, P. 4546.
 O. Gutik, On inverse submonoids of the monoid of almost monotone injective cofinite partial selfmaps of positive integers, The XII International Algebraic Conference in Ukraine, July 0206, 2019, Vinnytsia, Ukraine. Abstracts. Vinnytsia, 2019, P. 4243.
 P. Khylynskyi, O. Gutik, On BruckReilly λextensions of semigroups, The XII International Algebraic Conference in Ukraine, July 0206, 2019, Vinnytsia, Ukraine. Abstracts. Vinnytsia, 2019, P. 51.
 O. Gutik, and K. Maksymyk, On a semitopological extended bicyclic semigroup with adjoined zero, Settheoretic methods in topology and real functions theory, The conference is dedicated to the 80th birthday of Lev Bukovský. September 913, 2019, Košice. Abstracts. Košice, 2019, P. 3132.
 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 (25.09.194907.10.2014). Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine, September 2528, 2019. Kyiv, 2019, P. 1315.
 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.
 O. Gutik, On the monoid of cofinite partial isometries of ℕ with a bounded finite noise, Contemporary Mathematics in Kielce 2020, February 2427, 2021, Kielce, Poland. https://cmk2020.ujk.edu.pl/schedule.
 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 (17.03.192818.12.2019). May 2528, 2021, Odesa, Ukraine. Abstracts, P. 4849.
 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 (17.03.192818.12.2019). May 2528, 2021, Odesa, Ukraine. Abstracts, P. 50.
 O. Gutik, On some generalization of the bicyclic monoid, International Conference “Dynamics of (Semi)Group Actions”. June 2225, 2021, Łódz, Poland, Abstracts, P. 11.
 O. Gutik, Around the bicyclic monoid, The 13th International Algebraic Conference in Ukraine. July 69, 2021, Taras Shevchenko National University of Kyiv, Kyiv, 2021, Book of Abstracts, P. 38.
 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 69, 2021, Taras Shevchenko National University of Kyiv, Kyiv, 2021, Book of Abstracts, P. 39.
 O. Gutik, and I. Pozdnyakova, On the semigroup generating by extended bicyclic semigroup and an ωclosed family, XXVI International Scientific Conference “Modern Problems of Applied Mathematcs and Computer Sxiences APAMCS2021”, September 2728, 2021, Lviv. Proceedings, Lviv, 2021, P. 9597 (in Ukrainian).
 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 2728, 2021, Kyiv, Ukraine. Abstracts, P. 13.
 O. Gutik, and M. Mykhalenych, On a semitopological semigroup Ɓ_{ω}^{ℱ} when a family ℱ consists of inductive nonempty subsets of ω, International Algebraic Conference “At the End of the Year” 2022. December 2728, 2022, Kyiv, Ukraine. Abstracts, Kyiv, 2022, Abstracts, P. 23.
 O. Popadiuk, and O. Gutik, On the semigroup Ɓ_{ω}^{ℱn} which is generated by the family ℱ_{n} of finite bounded intervals of ω, International Algebraic Conference “At the End of the Year” 2022. December 2728, 2022, Kyiv, Ukraine. Abstracts, Kyiv, 2022, Abstracts, P. 42.
 I. Pozdniakova, and O. Gutik, On the group of automorphisms of the semigroup Ɓ_{ℤ}^{ℱ} with the family ℱ of inductive nonempty subsets of ω, International Algebraic Conference “At the End of the Year” 2022. December 2728, 2022, Kyiv, Ukraine. Abstracts, Kyiv, 2022, Abstracts, P. 43.

Other Conference, Workshop, Meeting and Seminar Reports


 On the bands of compact inverse semigroups with open translations, All Ukrainian Scientific Conference “Development and Applications of Mathematical Methods in Scientific Research”, October 37, 1995. Lviv, Ukraine.
 On compact semilattices with open principal ideals, Forth International Conference “Groups and Group Rings”, September 1721, 1996. Velykyi Lyubin, Ukraine.
 On homomorphisms of topological semigroups, International Conference Dedicated to 100th Anniversary of Rene Baer Dissertation, September 1517, 1999. Chernivtsi, Ukraine.
 On countably compact 0simple and congruencefree topological inverse semigroups, Geometric Topology Seminar, June 2, 2006. University of Ljubljana, Slovenia.
 Topological semigroups of matrix units, Summer School on Algebra and Ordered Sets, September 29, 2006. Radejov, Czech Republic.
 Hclosed topological semigroups and semilattices, 8th Conference “Geometry and Topology of Manifolds”, April 30May 6, 2007. PrzemyslLviv, PolandUkraine.
 On Hclosedness in partially ordered topological spaces, Geometric Topology Seminar, November 23, 2007. University of Ljubljana, Slovenia.
 The history of the Lviv mathematical school, Geometric Topology Seminar, July 17, 2008. University of Ljubljana, Slovenia.
 Countably compact topological semigroups, Geometric Topology Seminar, August 19, 2009. University of Ljubljana, Slovenia.
 Topological semilattices with restrictions on translations and their completeness, Seminarium z algebry ogólnej, March 15, 2011. Politechnika Warszawska, Poland.
 Hcomplete topological semigroups and semilattices, Geometric Topology Seminar, April 17, 2013. University of Ljubljana, Slovenia.
 On compactifications of topological Brandt extensions of semitopological semigroups, Geometric Topology Seminar, April 24, 2013. University of Ljubljana, Slovenia.
 Semigroups of partial monotone bijections of ordered sets, The 51st Summer School on General Algebra and Ordered Sets, September 17, 2013, Hotel Troyer, Trojanovice, Czech Republic.
 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.
 Topological semilattices with restrictions on translations, 2014 Zhangzhou International Topology Workshop, April 1016, 2014. Minnan Normal University, Zhangzhou, China.
 Hcomplete topological semilattices, 2014 Zhangzhou International Topology Workshop, April 1016, 2014. Minnan Normal University, Zhangzhou, China.
 Compact like topological semigroups, 2014 Zhangzhou International Topology Workshop, April 1016, 2014. Minnan Normal University, Zhangzhou, China.
 Topological Brandt λ^{0}extensions of (semi)topological semigroups, 2014 Zhangzhou International Topology Workshop, April 1016, 2014. Minnan Normal University, Zhangzhou, China.
 Pseudocompact topological semigroups, I, II, III, Workshop on Topological Groups and Their Generalizations, September 2227, 2014. University of Hradec Králové, Czech Republic.
 Around the bicyclic monoid: topological and semigroup views, Set Theory Seminar, April 1, 2015. Wroclaw University of Sciences and Technology, Poland.
 Compactlike semitopological and topological semigroups, Topology Seminar, Mathematical Institute, May 31, 2015. Wroclaw University, Poland.
 On the group of automorphisms of the Brandt λ^{0}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.
 Brandt λ^{0}extensions of semigroups, Instytut Matematyki Politechniki Lόdzkiej, October 17, 2016. Politechnika Lόdzka, Poland.
 The topologization of inverse semigroups, The December Sesion of Shevchenko Scientific Society (Mathematical Committee), December 23, 2016. Lviv, Ukraine.
 Around the bicyclic semigroup, Seminar of Institute of Mathematics, November 29, 2018. Jan Kochanowski University in Kielce, Poland.
 On semigroups of partial order isomorphism and cofinite partial homeomorphisms, Topology Seminar, Mathematical Institute, November 26, 2018. Wroclaw University, Poland.
 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.
 Codes and Automata, Winter School DES 2020 Data Engineering and Security, January 28, 2020. National University of Lviv, Ukraine.
 Lviv Topological Seminar and its founder Igor Guran, Topology in Lviv University, February 24, 2020. National University of Lviv, Ukraine.
 Algebraic Codes and Automata, Winter School DES 2021 Data Engineering and Security, January 18 and 28, 2021. National University of Lviv, Ukraine.
 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


 The Second Europian Set Theory Metting: In Honnor of Ronald Jensen, July 510, 2009, Będlewo, Poland.
 AAA 100 – Arbeitstagung Allgemeine Algebra, February 57, 2021, Kraków, Poland.
 Algebra, Topology and their Interactions, International conference, 78 September 2021, Udine, Italy.

Other Papers

 I. Guran, and O. Gutik, Alexander Doniphan Wallace: the founder of the theory of topological semigroups, Third Summer School in Algebra, Analysis and Topology. LvivKozyova, August 920, 2005. Invited Lectures and Abstracts of Research Reports. Lviv (2005), 3157.
 Ya. Prytula, M. Zarichnyi, T. Banakh, and O. Gutik, Second summer school in algebra and topology, Mat. Stud. 22 (2004) no. 2, 223224.
 O. Gutik, and M. Zarichnyi, Third Summer School in Algebra, Analysis and Topology, Mat. Stud. 24 (2005), no. 2, 217218.
 O. Gutik, and M. Zarichnyi, Third Summer School in Algebra, Analysis and Topology, Ukr. Math. Zh. 58 (2006), no. 2, 288289 (in Ukrainian).
 O. Gutik, and M. Zarichnyi, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Mat. Stud. 26 (2006), no. 1, 111112.
 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 60рiччя з дня народження), Mat. Stud. 40 (2013), no. 2, 209215.
 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, 216221.
 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), 147154 (in Ukrainian).
 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. МалоїдГлєбова, 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), 163164 (in Ukrainian).
 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 (14.11.194629.10.2016), Mathematical Bulletin of the Shevchenko Scientific Society 13 (2016), 165167 (in Ukrainian).
 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, 111112 (in Ukrainian).
 Т. Банах, О. Гутік, Про міжнародну конференцію, присвячену 120й річниці з дня народження Казимира Куратовського, Visn. L’viv. Univ., Ser. Mekh.Mat. 82 (2016), 224225 (in Ukrainian).
 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, 220221.
 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), 126127.
 О. Гутік, Урочиста Академія, присвячена 150й річниці від дня народження Георгія Вороного, Visn. L’viv. Univ., Ser. Mekh.Mat. 85 (2018), 139 (in Ukrainian).
 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 60річчя з дня народження), Visn. L’viv. Univ., Ser. Mekh.Mat. 86 (2018), 338 (in Ukrainian).
 О. Гутік, Урочиста Академія, присвячена 65и річчю механікоматематичного факультету, Visn. L’viv. Univ., Ser. Mekh.Mat. 86 (2018), 157 (in Ukrainian).
 O. Гутік, Я. Притула, Академія, присвячена пам’яті Юзефа Пузини (18561919), Visn. L’viv. Univ., Ser. Mekh.Mat. 87 (2019), 122123 (in Ukrainian).
 Т. Банах, О. Гринів, O. Гутік, М. Зарічний, Міжнародна конференція “Banach Spaces and their Applications”, присвячена 70й річниці з дня народження Анатолія Миколайовича Плічка, Visn. L’viv. Univ., Ser. Mekh.Mat. 87 (2019), 124125 (in Ukrainian).
 O. Гутік, Шотландська книга: минуле, сьогодення, майбутнє, Visn. L’viv. Univ., Ser. Mekh.Mat. 88 (2019), 167 (in Ukrainian).
 O. Гутік, Топологія у Львівському університеті, Visn. L’viv. Univ., Ser. Mekh.Mat. 89 (2020), 123124 (in Ukrainian).
 О. Бугрій, O. Гутік, О. М. Кінаш (21.05.196413.02.2021), Visn. L’viv. Univ., Ser. Mekh.Mat. 91 (2021), 105106 (in Ukrainian).
 О. Бугрій, O. Гутік, М. Заболоцький, М. І. Бугрій (10.09.194824.04.2021), Visn. L’viv. Univ., Ser. Mekh.Mat. 91 (2021), 107108 (in Ukrainian).
 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).
 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 1985May 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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