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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math.GR2024★ 2 cited

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 $O I_{n} (L)$ of finite partial order isomorphisms of the rank $\leq n$ of an infinite linearly ordered set $(L,\leqslant…

math.GR2024

On semitopological simple inverse $ω$ -semigroups with compact maximal subgroups

Oleg Gutik, Kateryna Maksymyk

We describe the structure of ( $0$ -)simple inverse Hausdorff semitopological $ω$ -semigroups with compact maximal subgroups. In particular, we show that if $S$ is a simple inverse Ha…

The semigroup of finite partial order isomorphisms of a bounded rank of an infinite linear ordered set

On semitopological simple inverse ω-semigroups with compact maximal subgroups

On semitopological simple inverse $ω$ -semigroups with compact maximal subgroups