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Fuzzy Γ-ideals in Γ-AG-groupoids

Year 2014, Volume: 43 Issue: 4, 625 - 634, 01.08.2014

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. 

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Year 2014, Volume: 43 Issue: 4, 625 - 634, 01.08.2014

Abstract

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There are 1 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Tariq Shah

İnayatur Rehman This is me

Asghar Khan This is me

Publication Date August 1, 2014
Published in Issue Year 2014 Volume: 43 Issue: 4

Cite

APA Shah, T., Rehman, İ., & Khan, A. (2014). Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics, 43(4), 625-634.
AMA Shah T, Rehman İ, Khan A. Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics. August 2014;43(4):625-634.
Chicago Shah, Tariq, İnayatur Rehman, and Asghar Khan. “Fuzzy Γ-Ideals in Γ-AG-Groupoids”. Hacettepe Journal of Mathematics and Statistics 43, no. 4 (August 2014): 625-34.
EndNote Shah T, Rehman İ, Khan A (August 1, 2014) Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics 43 4 625–634.
IEEE T. Shah, İ. Rehman, and A. Khan, “Fuzzy Γ-ideals in Γ-AG-groupoids”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 4, pp. 625–634, 2014.
ISNAD Shah, Tariq et al. “Fuzzy Γ-Ideals in Γ-AG-Groupoids”. Hacettepe Journal of Mathematics and Statistics 43/4 (August 2014), 625-634.
JAMA Shah T, Rehman İ, Khan A. Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics. 2014;43:625–634.
MLA Shah, Tariq et al. “Fuzzy Γ-Ideals in Γ-AG-Groupoids”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 4, 2014, pp. 625-34.
Vancouver Shah T, Rehman İ, Khan A. Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics. 2014;43(4):625-34.