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 2011Show all

4 papers · 1 filter

math.GR2011★ 2 cited

On the closure of the extended bicyclic semigroup

Iryna Fihel, Oleg Gutik

In the paper we study the semigroup $C_{Z}$ which is a generalization of the bicyclic semigroup. We describe main algebraic properties of the semigroup $\mathscr…

math.GR2011

Congruences on bicyclic extensions of a linearly ordered group

Oleg Gutik, Dušan Pagon, Kateryna Pavlyk

In the paper we study inverse semigroups $B (G)$ , $B^{+} (G)$ , $B ˉ (G)$ and $B ˉ^{+} (G)$ which are generated by partial monotone injecti…

math.GN2011★ 3 cited

Topological monoids of monotone injective partial selfmaps of $N$ with cofinite domain and image

Oleg Gutik, Dušan Repovš

In this paper we study the semigroup $I_{\infty}^{↗} (N)$ of partial cofinal monotone bijective transformations of the set of positive integers $\mathbb{N}…

math.GN2011★ 2 cited

Metrizability of Clifford topological semigroups

Taras Banakh, Oleg Gutik, Oles Potiatynyk +1

We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$ -space and the set $E = {e \in S : ee = e}$ of idempotents of $S$ is a metrizable $G_{δ}$ -set…

On the closure of the extended bicyclic semigroup

Congruences on bicyclic extensions of a linearly ordered group

Topological monoids of monotone injective partial selfmaps of N with cofinite domain and image

Metrizability of Clifford topological semigroups

Topological monoids of monotone injective partial selfmaps of $N$ with cofinite domain and image