On the monoid of cofinite partial isometries of $\qq{N}^n$ with the usual metric

On the monoid of cofinite partial isometries of $\qq{N}^n$ with the usual metric

In this paper we study the structure of the monoid Iℕn ∞ of  cofinite partial isometries of the n-th power of the set of positive integers ℕ with the usual metric for a positive integer n > 2. We describe the group of units and the subset of idempotents of the semigroup Iℕn ∞, the natural partial...

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Bibliographic Details
Main Authors: Oleg Gutik, Anatolii Savchuk
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2019-12-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
partial isometry, inverse semigroup, partial bijection, natural partial order, green's relations, least group congruence, f-inverse semigroup, semidirect product, free semilattice, symmetric group
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1553

Internet

https://journals.onaft.edu.ua/index.php/geometry/article/view/1553

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