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

Fuzzy ?-ideals in ?-AG-groupoids

Fuzzy ?-ideals in ?-AG-groupoids

Tariq SHAH, Inayatur REHMAN, Asghar KHAN

Sayfa
625–634
DOI
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Abstract

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