TY  - JOUR
T1  - Fuzzy Γ-ideals in Γ-AG-groupoids
AU  - Rehman, İnayatur
AU  - Shah, Tariq
AU  - Khan, Asghar
PY  - 2014
DA  - August
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 625
EP  - 634
VL  - 43
IS  - 4
LA  - en
AB  - 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-groupoidwith left identity, then every fuzzy Γ-ideal of S is idempotent if andonly if every fuzzy Γ-ideal of S is semiprime. We also show that, if Sis a Γ-AG-groupoid with left identity e, then every fuzzy Γ-ideal of Sis prime if and only if every fuzzy Γ-ideal of S is idempotent and theset of fuzzy Γ-ideals of S is totally ordered by inclusion. 
KW  - Γ-AG-groupoids
KW  - Fuzzy sets
KW  - Fuzzy Γ-ideals
KW  - Prime fuzzy Γ-ideals
KW  - Band
KW  - Irreducible fuzzy Γ-ideals
CR  - .
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UR  - https://dergipark.org.tr/en/pub/hujms/article/532037
L1  - https://dergipark.org.tr/en/download/article-file/657220
ER  -