Scientific Seminar
at Geometry and Topology Department of
Ivan Franko National University of Lviv
Archive for (2010/2011) academic year



Topological
Algebra

September 9, 2010 I. Guran,
O. Gutik
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    • The active participants of the seminar were discuss new results and posed some open problems.
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
  • (2-)pseudocompact paratopological groups that are topological, I
    • 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.
December 2, 2010,
December 9, 2010
I. Guran
  • 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.
February 21, 2011 I. Guran
  • On topologizations of the group S(X)
    • In the report will be discus the problem posed in the title.
February 28, 2011,
March 21, 2011
O. Gutik
  • 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.
March 14, 2011
March 29, 2011
April 4, 2011
May 16, 2011
May 23, 2011
O. Ravsky
  • (2-)pseudocompact paratopological groups that are topological, I
    • 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.
May 30, 2011 Kateryna PAVLYK (University of Tartu, Estonia)
  • 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.
August 1, 2011,
August 4, 2011,
August 8, 2011,
August 15, 2011
Инна ПОЗДНЯКОВА (Луганский национальный университет)
  • 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.