3 papers
math.GR2024
On semitopological simple inverse -semigroups with compact maximal subgroups
Oleg Gutik, Kateryna Maksymyk
We describe the structure of (-)simple inverse Hausdorff semitopological -semigroups with compact maximal subgroups. In particular, we show that if is a simple inverse Ha…
math.GR2019
On a semitopological extended bicyclic semigroup with adjoined zero
Oleg Gutik, Kateryna Maksymyk
In the paper it is shown that every Hausdorff locally compact semigroup topology on the extended bicyclic semigroup with adjoined zero is di…
math.GR2018
On variants of the extended bicyclic semigroup
Oleg Gutik, Kateryna Maksymyk
In the paper we describe the group of automorphisms of the extended bicyclic semigroup and study the…