T. Banakh

activity

20062025

most citedEmbedding the bicyclic semigroup into countably compact topological semigroups

33 citations · 687 across the 231 of their papers we have counts for

collaborators

Showing 2019 · math.GRShow all

3 papers · 2 filters

math.GR2019

Automorphism groups of superextensions of finite monogenic semigroups

Taras Banakh, Volodymyr Gavrylkiv

A family $L$ of subsets of a set $X$ is called linked if $A \cap B \neq = \emptyset$ for any $A, B \in L$ . A linked family $M$ of subsets of $X$ is maximal linked…

math.GR2019

Zero-sum subsets of decomposable sets in Abelian groups

Taras Banakh, Alex Ravsky

A subset $D$ of an Abelian group is $d eco m p os ab l e$ if $\emptyset \neq = D \subset D + D$ . In the paper we give partial answer to an open problem asking whether every finite decomposable s…

math.GR2019

Positive answers to Koch's problem in special cases

Taras Banakh, Serhii Bardyla, Igor Guran +2

A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact. This probl…