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 2015 · math.GRShow all

3 papers · 2 filters

math.GR2015★ 1 cited

On monoids of injective partial cofinite selfmaps

Oleg Gutik, Dušan Repovš

We study the semigroup $I_{λ}^{cf}$ of injective partial cofinite selfmaps of an infinite cardinal $λ$ . We show that $I_{λ}^{cf}$ is a bisimple in…

math.GR2015

Pseudocompactness, products and topological Brandt $λ^{0}$ -extensions of semitopological monoids

Oleg Gutik, Oleksandr Ravsky

In the paper we study the preservation of pseudocompactness (resp., countable compactness, sequential compactness, $ω$ -boundedness, totally countable compactness, countable pracomp…

math.GR2015★ 17 cited

On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero

Oleg Gutik

We prove that a Hausdorff locally compact semitopological bicyclic semigroup with adjoined zero $C^{0}$ is either compact or discrete. Also we show that the similar stateme…

On monoids of injective partial cofinite selfmaps

Pseudocompactness, products and topological Brandt λ0-extensions of semitopological monoids

On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero

Pseudocompactness, products and topological Brandt $λ^{0}$ -extensions of semitopological monoids