On prime, quasi-prime, weakly quasi-prime fuzzy left ideals of semigroups

摘要

In this paper, we introduce and study the prime, quasi-prime and weakly quasi-prime fuzzy left ideals of a semigroup S. We give characterizations of the largest fuzzy ideal I(f) contained in a fuzzy left ideal f of a seigroup S and the largest Fuzzy subsemigroup I(f) such that f is a fuzzy ideal of I (f). Finally, strongly semisimple semigroups are characterized by Quasi-prime fuzzy left ideals.