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On the monoid of cofinite partial isometries of with the usual metric
Oleg Gutik, Anatolii Savchuk
In the paper we show that the monoid of all partial cofinite isometries of positive integers does not embed isomorphically into the monoid $\mathbf{…
On the monoid of cofinite partial isometries of with the usual metric
Oleg Gutik, Anatolii Savchuk
In this paper we study the structure of the monoid of cofinite partial isometries of the -th power of the set of positive integers …
On the semigroup
Oleg Gutik, Anatolii Savchuk
We study the semigroup of all partial isometries of the set of integers . It is proved that the quotient semigroup $\textbf{ID}_{\infty}/\mathfra…
The semigroup of partial co-finite isometries of positive integers
Oleg Gutik, Anatolii Savchuk
The semigroup of all partial co-finite isometries of positive integers is studied. We describe Green's relations on the semigroup $\mathbf{I}\mathbb…
On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers
Oleg Gutik, Anatolii Savchuk
In this paper we study submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers…