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September 9, 2010
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I.
Guran,
O.
Gutik
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Divertisement
The active participants of the seminar
were discuss new results and posed some open problems.
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September 16, 2010,
September
23, 2010,
October 7, 2010,
October 14, 2010,
October 21, 2010,
October 28, 2010,
November 4, 2010, 2010,
November 25, 2010
| O. Ravsky
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(2-)pseudocompact paratopological groups that are topological
We obtain sufficient conditions when
(2-)pseudocompact paratopological group is
topological;
(2-)pseudocompact paratopological groups that are not
topological are constructed.
Our particular attention is devoted to
periodic and topologically periodic groups. In addition, we prove that
the product of a nonempty family of pseudocompact paratopological
groups is pseudocompact.
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December 2, 2010,
December 9, 2010
| I.
Guran
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When a locally compact
monothetic topological cancellative semigroup is a compact topological
group?
In the report will be discus the
question posed in the title.
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| February 21, 2011
| I.
Guran
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On topologizations of the group
S(X)
In the report will be discus the problem
posed in the title.
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February 28, 2011,
March 21,
2011
| O.
Gutik
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On bicyclic extensions of linearly ordered groups
The report is devoted to inverse
semigroups which are generating by partial translations of a positive
cone of a linearly ordered group. We describe their Green's relations,
structure of their bands and congruences.
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March 14, 2011
March 29, 2011
April 4, 2011
May 16, 2011
May 23, 2011
| O. Ravsky
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(2-)pseudocompact
paratopological groups that are topological, II
We obtain sufficient conditions when
(2-)pseudocompact paratopological group is
topological;
(2-)pseudocompact paratopological groups that are not
topological are constructed.
Our particular attention is devoted to
periodic and topologically periodic groups. In addition, we prove that
the product of a nonempty family of pseudocompact paratopological
groups is pseudocompact.
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| May 30, 2011
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K. Pavlyk (University of
Tartu, Estonia)
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On pseudocompact topological Brandt semigroups
We describe the structure of
pseudocompact completely 0-simple topological inverse semigroups. As a
consequence of this result the analogue of Comfort-Ross theorem for
topological semigroups is obtained. We present also the sufficient
conditions on topological Brandt extensions for preserving the
(absolute) H-closedness and some criteria for the (absolute)
H-closedness of topological Brandt semigroups.
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August 1, 2011,
August 4, 2011,
August 8, 2011,
August 15, 2011
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И. Позднякова (Луганский национальный университет)
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Полугруппы эндоморфизмов некоторых бесконечных моноунарных алгебр
Будет доказано, что бесконечные моноунарные алгебры с не сюрьективной унарной операцией, которые не
содержат циклических и метамоногенных подалгебр, определяются своей полугруппой эндоморфизмов с
точностью до изоморфизма. А также доказано, что в полугруппе эндоморфизмов моноунарной алгебры этого класса
существует плотно вложенный идеал, мощность которого совпадает с порядком моноунарной алгебры и который также
определяет моноунарную алгебру с точностью до изоморфизма.
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Archive for
(2010/2011) academic year
