Oleg Gutik

activity

20082024

most citedEmbedding the bicyclic semigroup into countably compact topological semigroups

33 citations · 241 across the 65 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.GR2018

On variants of the extended bicyclic semigroup

Oleg Gutik, Kateryna Maksymyk

In the paper we describe the group $Aut (C_{Z})$ of automorphisms of the extended bicyclic semigroup $C_{Z}$ and study the…

math.GN2018

On feebly compact semitopological semilattice $exp_{n} λ$

Oleg Gutik, Oleksandra Sobol

We study feebly compact shift-continous topologies on the semilattice $(exp_{n} λ, \cap)$ . It is proved that such $T_{1}$ -topology is sequentially pracompact if and only if i…

math.GN2018

On old and new classes of feebly compact spaces

Oleg Gutik, Alex Ravsky

We introduce three new classes of pracompact spaces, consider their basic properties and relations with other compact-like spaces.

math.GR2018

The monoid of order isomorphisms of principal filters of a power of the positive integers

Oleg Gutik, Taras Mokrytskyi

Let $n$ be any positive integer and $I P F (N^{n})$ be the semigroup of all order isomorphisms between principal filters of the $n$ -th power of the set of posit…

On variants of the extended bicyclic semigroup

On feebly compact semitopological semilattice expn​λ

On old and new classes of feebly compact spaces

The monoid of order isomorphisms of principal filters of a power of the positive integers

On feebly compact semitopological semilattice $exp_{n} λ$