Year: 2017
Author: Jingguo Liu, Jinling Zhang
Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 97–109
Abstract
Let $\cal P$ denote the equivalence relation on an epigroup in which any of its classes consists precisely of those elements owning the same pseudo-inverse. The purpose of the paper is to characterize epigroups on which any congruence either contains $\cal P$ or its join with $\mathcal P$ is the identity relation on epigroups. As a special subclass of epigroups, completely 0-simple semigroups having the same property are also described.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.02.01
Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 97–109
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: congruence epigroup completely 0-simple semigroup