On Fuzzy Primary and Fuzzy Quasi-Primary Ideals in LASemigroups
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Authors: P. YIARAYONG
DOI: 10.46793/KgJMat2204.617Y
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 LA-semigroups. 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.
Keywords:
LA-semigroup, fuzzy primary ideal, weakly fuzzy quasi-primary ideal, fuzzy completely primary ideal, fuzzy quasi-primary ideal.
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