9 citations · 10 across the 2 of their papers we have counts for
6 papers
On pseudocompact topological Brandt -extensions of semitopological monoids
O. Gutik, K. Pavlyk
In the paper we investigate topological properties of a topological Brandt -extension of a semitopological monoid with zero. In particular we prove that for eve…
Pseudocompact primitive topological inverse semigroups
Oleg Gutik, Kateryna Pavlyk
In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that a Ty…
On a topological simple Warne extension of a semigroup
Iryna Fihel, Oleg Gutik, Kateryna Pavlyk
In the paper we introduce topological -Bruck-Reilly and topological -Bruck extensions of (semi)topological monoids which are generalizations of topological…
Congruences on bicyclic extensions of a linearly ordered group
Oleg Gutik, Dušan Pagon, Kateryna Pavlyk
In the paper we study inverse semigroups , , and which are generated by partial monotone injecti…
Brandt extensions and primitive topological inverse semigroups
Tetyana Berezovski, Oleg Gutik, Kateryna Pavlyk
In the paper we study (countably) compact and (absolutely) -closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive…
Topological semigroups of matrix units and countably compact Brandt -extensions of topological semigroups
Oleg Gutik, Kateryna Pavlyk, Andriy Reiter
We show that a topological semigroup of finite partial bijections of an infinite set with a compact subsemigroup of idempotents is absolutely -closed and any c…