Intra-regular Left Almost Semigroups Characterized by Their Anti Fuzzy Ideals
نویسنده
چکیده
Abstract In this paper, we have introduced anti fuzzy quasi-ideals, anti fuzzy bi-(generalized bi-) ideals and anti fuzzy left (right, two-sided) ideals in LA-semigroup. Further we have characterized an intra-regular LA-semigroup by the properties of their anti fuzzy left (right, two-sided) ideals, anti fuzzy bi(generalized bi-)ideals, anti fuzzy interior ideals and anti fuzzy quasi-ideals. Further we have shown that anti fuzzy two-sided ideals, anti fuzzy bi-ideals, anti fuzzy generalized bi-ideals, anti fuzzy interior ideals and anti fuzzy quasi-ideals coincide in an intra-regular LA-semigroup with left identity. Also we have proved that the set of anti fuzzy two-sided ideals of an intra-regular LA-semigroup S with left identity forms a semilattice structure.
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