6 papers
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…
On the semigroup of monoid endomorphisms of the semigroup
Oleg Gutik, Sher-Ali Penza
Let be the submonoid of the bicyclic monoid which is studied in \cite{Makanjuola-Umar=1997}. We describe monoid endomorphisms of the semigroup $\mathscr{C}_{…