33 citations · 241 across the 65 of their papers we have counts for
7 papers · 1 filter
On a locally compact monoid of cofinite partial isometries of with adjoined zero
Oleg Gutik, Pavlo Khylynskyi
Let be a monoid which is generated by the partial shift of the set of positive integers and its inverse partial shift $…
On group congruences on the semigroup and its homomorphic retracts in the case when a family consists of inductive non-empty subsets of
Oleg Gutik, Mykola Mykhalenych
We study group congruences on the semigroup and its homomorphic retracts in the case when an -closed family which consists of indu…
On the semigroup which is generated by the family of atomic subsets of
Oleg Gutik, Oleksandra Lysetska
We study the semigroup , which is introduced in [O. Gutik and M. Mykhalenych, \emph{On some generalization of the bicyclic monoid}, Visnyk Lviv. Uni…
Polycyclic extensions of semigroups
Oleg Gutik, Pavlo Khylynskyi
In the paper we introduce a notion of the Bruck-Reilly -polycyclic extension of a monoid with a homomorphism which is an analogue of the Bruck-Reilly extension of a mono…
On some generalization of the bicyclic monoid
Oleg Gutik, Mykola Mykhalenych
We introduce an algebraic extension of the bicyclic monoid for an arbitrary -closed family subsets of which generalizes the bi…
On the semigroup generating by extended bicyclic semigroup and a -closed family
Oleg Gutik, Inna Pozdnyakova
The algebraic extension of the extended bicyclic semigroup for an arbitrary -closed family subsets of is introduced…