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math.GR2026
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…
math.GR2025
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 partic…
math.GR2025
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 .…
math.GR2025
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 tw…
math.GR2024
On locally compact shift-continuous topologies on semigroups and with adjoined zero
Oleg Gutik
Let and be the semigroups and with the adjoined zero. We show that the semigroups $\…