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 2009 · math.GRShow all

3 papers · 2 filters

math.GR2009

Topological semigroups of matrix units and countably compact Brandt $λ^{0}$ -extensions of topological semigroups

Oleg Gutik, Kateryna Pavlyk, Andriy Reiter

We show that a topological semigroup of finite partial bijections $I_{λ}^{n}$ of an infinite set with a compact subsemigroup of idempotents is absolutely $H$ -closed and any c…

math.GR2009

Symmetric inverse topological semigroups of finite rank $⩽ n$

Oleg Gutik, Andriy Reiter

We study topological properties of the symmetric inverse topological semigroup of finite transformations $I_{λ}^{n}$ of the rank $⩽ n$ . We show that the topological i…

math.GR2009★ 6 cited

On the Brandt $λ^{0}$ -extensions of monoids with zero

Oleg Gutik, Dušan Repovš

We study algebraic properties of the Brandt $λ^{0}$ -extensions of monoids with zero and non-trivial homomorphisms between the Brandt $λ^{0}$ -extensions of monoids with zero. We introdu…

Topological semigroups of matrix units and countably compact Brandt λ0-extensions of topological semigroups

Symmetric inverse topological semigroups of finite rank ⩽n

On the Brandt λ0-extensions of monoids with zero

Topological semigroups of matrix units and countably compact Brandt $λ^{0}$ -extensions of topological semigroups

Symmetric inverse topological semigroups of finite rank $⩽ n$

On the Brandt $λ^{0}$ -extensions of monoids with zero