33 citations · 241 across the 65 of their papers we have counts for
9 papers · 2 filters
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 the monoid of cofinite partial isometries of with the usual metric
Oleg Gutik, Anatolii Savchuk
In this paper we study the structure of the monoid of cofinite partial isometries of the -th power of the set of positive integers …
Extensions of semigroups by symmetric inverse semigroups of a bounded finite rank
Oleg Gutik, Oleksandra Sobol
We study the semigroup extension of a semigroup by symmetric inverse semigroups of a bounded finite rank. We describe idempotents and regular elements of t…
The semigroup of star partial homeomorphisms of a finite deminsional Euclidean space
Oleg Gutik, Kateryna Melnyk
In the paper the notion of a star partial homeomorphism of a finite dimensional Euclidean space is introduced. We describe the structure of the semigroup $\mathbf{PS…
The semigroup of monotone co-finite partial homeomorphisms of the real line
Oleg Gutik, Kateryna Melnyk
In the paper we investigate the semigroup of monotone co-finite partial homeomorphisms of the space of the usual real line . We prove that the inverse semigroup $\maths…
On the semigroup
Oleg Gutik, Anatolii Savchuk
We study the semigroup of all partial isometries of the set of integers . It is proved that the quotient semigroup $\textbf{ID}_{\infty}/\mathfra…
The semigroup of partial co-finite isometries of positive integers
Oleg Gutik, Anatolii Savchuk
The semigroup of all partial co-finite isometries of positive integers is studied. We describe Green's relations on the semigroup $\mathbf{I}\mathbb…
On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers
Oleg Gutik, Anatolii Savchuk
In this paper we study submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers…
Positive answers to Koch's problem in special cases
Taras Banakh, Serhii Bardyla, Igor Guran +2
A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact. This probl…