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

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Showing 2017 · math.GRShow all

4 papers · 2 filters

math.GR2017

On feebly compact semitopological symmetric inverse semigroups of a bounded finite rank

Oleg Gutik

We study feebly compact shift-continuous $T_{1}$ -topologies on the symmetric inverse semigroup $I_{λ}^{n}$ of finite transformations of the rank $⩽ n$ . For any positive…

math.GR2017★ 6 cited

On locally compact semitopological $0$ -bisimple inverse $ω$ -semigroups

Oleg Gutik

We describe the structure of Hausdorff locally compact semitopological $0$ -bisimple inverse $ω$ -semigroups with compact maximal subgroups. In particular, we show that a Hausdorff l…

math.GR2017★ 9 cited

Topological properties of Taimanov semigroups

Oleg Gutik

A semigroup $T$ is called Taimanov if $T$ contains two distinct elements $0, \infty$ such that $x y = \infty$ for any distinct points $x, y \in T ∖ {0, \infty}$ and $x y = 0$ in all…

math.GR2017

On the monoid of monotone injective partial selfmaps of $N_{⩽}^{2}$ with cofinite domains and images, II

Oleg Gutik, Inna Pozdniakova

Let $N_{⩽}^{2}$ be the set $N^{2}$ with the partial order defined as the product of usual order $\leq$ on the set of positive integers $N$ . We st…

On feebly compact semitopological symmetric inverse semigroups of a bounded finite rank

On locally compact semitopological 0-bisimple inverse ω-semigroups

Topological properties of Taimanov semigroups

On the monoid of monotone injective partial selfmaps of N⩽2​ with cofinite domains and images, II

On locally compact semitopological $0$ -bisimple inverse $ω$ -semigroups

On the monoid of monotone injective partial selfmaps of $N_{⩽}^{2}$ with cofinite domains and images, II