On Fuzzy Primary and Fuzzy Quasi-Primary Ideals in LASemigroups

Abstract

The purpose of this paper is to introduce the notion of a weakly fuzzy quasi-primary ideals in LA-semigroups, we study fuzzy primary, fuzzy quasi-primary, fuzzy completely primary, weakly fuzzy primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Some characterizations of weakly fuzzy primary and weakly fuzzy quasi-primary ideals are obtained. Moreover, we investigate relationships between fuzzy completely primary and weakly fuzzy quasi-primary ideals in LAsemigroups. Finally we show that a fuzzy left ideal f is a weakly fuzzy quasi-primary ideal of S2 if and only if S1 × f is a weakly fuzzy quasi-primary ideal of S1 × S2.