Tariq SHAH, İnayatur REHMAN, Asghar KHAN

10386

Fuzzy Γ-ideals in Γ-AG-groupoids

Fuzzy Γ-ideals in Γ-AG-groupoids

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. 
Keywords:

Γ-AG-groupoids, Fuzzy sets, Fuzzy Γ-ideals Prime fuzzy Γ-ideals, Band, Irreducible fuzzy Γ-ideals,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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