Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 4

Fuzzy Γ-ideals in Γ-AG-groupoids

Tariq SHAH, İnayatur REHMAN, Asghar KHAN

Sayfa
625–634
DOI
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Abstract

In this paper we study fuzzy Γ-ideals and prime, semiprime fuzzy Γideals of a Γ-AG-groupoid S. We prove that, if S is a Γ-AG-groupoid with left identity, then every fuzzy Γ-ideal of S is idempotent if and only if every fuzzy Γ-ideal of S is semiprime. We also show that, if S is a Γ-AG-groupoid with left identity e, then every fuzzy Γ-ideal of S is prime if and only if every fuzzy Γ-ideal of S is idempotent and the set of fuzzy Γ-ideals of S is totally ordered by inclusion.