3 citations · 5 across the 2 of their papers we have counts for
3 papers
math.GR2021★ 3 cited
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 $…
math.GR2021
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…
math.GN2021★ 2 cited
On the monoid of cofinite partial isometries of with a bounded finite noise
Oleg Gutik, Pavlo Khylynskyi
In the paper we study algebraic properties of the monoid of cofinite partial isometries of the set of positive integers $\mathbb…