33 citations · 241 across the 65 of their papers we have counts for
77 papers
The semigroup of finite partial order isomorphisms of a bounded rank of an infinite linear ordered set
Oleg Gutik, Maksym Shchypel
We study algebraic properties of the semigroup of finite partial order isomorphisms of the rank of an infinite linearly ordered set $(L,\leqslant…
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 the semigroup of injective monoid endomor\-phisms of the monoid with the two-elements family of inductive nonempty subsets of
Oleg Gutik, Inna Pozdniakova
We study injective endomorphisms of the semigroup with the two-elements family of inductive nonempty subsets of . We describe the…
On automorphisms of the semigroup in the case when the family consists of nonempty inductive subsets of
Oleg Gutik, Mykola Mykhalenych
Let be a family of nonempty inductive subsets of . It is proved that an injective endomorphism of the semigroup is t…
On homomorphisms of bicyclic extensions of archimedean totally ordered groups
Oleg Gutik, Oksana Prokhorenkova
Let be the bicyclic extension of a totally ordered group which is defined in [O. Gutik, D. Pagon, and K. Pavlyk, Congruences on bicyclic extensions of a line…
On a semitopological semigroup when a family consists of inductive non-empty subsets of
Oleg Gutik, Mykola Mykhalenych
Let be the bicyclic semigroup extension for the family of -closed subsets of which is introduced in \cite{Gutik-Mykhalenych=20…