33 citations · 241 across the 65 of their papers we have counts for
4 papers · 2 filters
Embedding the bicyclic semigroup into countably compact topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudoco…
The Rees-Suschkewitsch Theorem for simple topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We detect topological semigroups that are topological paragroups, i.e., are isomorphic to a Rees product of a topological group over topological spaces with a continuous sandwich f…
The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups
Oleg V. Gutik, Dušan Pagon, Dušan Repovš
In this paper we search for conditions on a countably compact (pseudo-compact) topological semigroup under which: (i) each maximal subgroup in is a (closed) topological…
On chains in -closed topological pospaces
Oleg V. Gutik, Dušan Pagon, Dušan Repovš
We study chains in an -closed topological partially ordered space. We give sufficient conditions for a maximal chain in an -closed topological partially ordered space suc…