9 citations · 9 across the 3 of their papers we have counts for
5 papers
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…
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…
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…
On semitopological interassociates of the bicyclic monoid
Oleg Gutik, Kateryna Maksymyk
Semitopological interassociates of the bicyclic semigroup are studied. In particular, we show that for arbitrary non-negative integers , $…
On semitopological bicyclic extensions of linearly ordered groups
Oleg Gutik, Kateryna Maksymyk
For a linearly ordered group let us define a subset to be a \emph{shift-set} if for any with we get . We describe…