1 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
5 papers · 1 filter
On the semigroup of injective monoid endomorphisms of the monoid with a three element family of inductive nonempty subsets of
Oleg Gutik, Marko Serivka
We describe injective monoid endomorphisms of the semigroup with a three element family of inductive nonempty subsets of . Als…
On topologization of the bicyclic monoid
Adriana Chornenka, Oleg Gutik
We construct two non-discrete inverse semigroup -topologies and a compact inverse shift-continuous -topology on the bicyclic monoid . Also we give con…
On variants of the extended bicyclic semigroup
Oleg Gutik, Kateryna Maksymyk
In the paper we describe the group of automorphisms of the extended bicyclic semigroup and study the…
On a semitopological polycyclic monoid
Serhii Bardyla, Oleg Gutik
We study algebraic structure of the -polycyclic monoid and its topologizations. We show that the -polycyclic monoid for an infinite cardinal has similar…
Pseudocompactness, products and topological Brandt -extensions of semitopological monoids
Oleg Gutik, Oleksandr Ravsky
In the paper we study the preservation of pseudocompactness (resp., countable compactness, sequential compactness, -boundedness, totally countable compactness, countable pracomp…