33 citations · 241 across the 65 of their papers we have counts for
6 papers · 2 filters
On the group of automorphisms of the Brandt -extension of a monoid with zero
Oleg Gutik
The group of automorphisms of the Brandt -extension of an arbitrary monoid with zero is described. In particular we show that the group of automorphisms $\mathb…
On semitopological interassociates of the bicyclic monoid
Oleg Gutik, Kateryna Maksymyk
Semitopological interassociates of the bicyclic semigroup are studied. In particular, we show that for arbitrary non-negative integers , $…
On semitopological bicyclic extensions of linearly ordered groups
Oleg Gutik, Kateryna Maksymyk
For a linearly ordered group let us define a subset to be a \emph{shift-set} if for any with we get . We describe…
On a complete topological inverse polycyclic monoid
Serhii Bardyla, Oleg Gutik
We give sufficient conditions when a topological inverse -polycyclic monoid is absolutely -closed in the class of topological inverse semigroups. Also, for every infini…
On the monoid of monotone injective partial selfmaps of with cofinite domains and images
Oleg Gutik, Inna Pozdniakova
Let be the set with the partial order defined as the product of usual order on the set of positive integers . We st…
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…