10 papers · 1 filter
On injective endomorphisms of the semigroup with a four-element family of inductive non-empty subsets of
Oleg Gutik, Marko Serivka
We describe injective endomorphisms of the semigroup with a four-element family of inductive non-empty subsets of . In particu…
On semigroups which admit only discrete left-continuous Hausdorff topology
Oleg Gutik
We give the sufficient condition when every left-continuous (right-continuous) Hausdorff topology on a semigroup is discrete. We construct a submonoid (r…
On non-topologizable semigroups
Oleg Gutik
We find anti-isomorphic submonoids and of the bicyclic monoid with the following properties: every Hausdorff left-c…
On injective endomorphisms of the semigroup with a three-element family of inductive non-empty subsets of
Oleg Gutik, Marko Serivka
We describe injective endomorphisms of the semigroup with a three-element family of inductive non-empty subsets of . In part…
On injective endomorphisms of the semigroup with the two-element family of inductive nonempty subsets of
Oleg Gutik, Inna Pozdniakova
We describe injective endomorphisms of the semigroup with the two-element family of inductive nonempty subsets of …
On the semigroup of endomorphisms of the semigroup with the two-element family of inductive nonempty subsets of
Oleg Gutik, Marko Serivka
We study the semigroup of all endomorphisms of the bicyclic extension with the…