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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…