Fuzzy Congruences on Strongly π-Inverse Semigroups

Yabing Shi, Zhenji Tian

Abstract

In this paper, we use the notion of a fuzzy congruence relation on semigroups to study group congruence on strongly π-inverse semigroups and give several forms of the group congruence. Finally, sufficient and necessary condition for a fuzzy congruence on strongly π-inverse semigroups to be a fuzzy group congruence are proved.