EN
Fuzzy Γ-ideals in Γ-AG-groupoids
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.
Keywords
References
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Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
August 1, 2014
Submission Date
March 7, 2012
Acceptance Date
-
Published in Issue
Year 2014 Volume: 43 Number: 4
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. https://izlik.org/JA87XN75CM
AMA
1.Shah T, Rehman İ, Khan A. Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics. 2014;43(4):625-634. https://izlik.org/JA87XN75CM
Chicago
Shah, Tariq, İnayatur Rehman, and Asghar Khan. 2014. “Fuzzy Γ-Ideals in Γ-AG-Groupoids”. Hacettepe Journal of Mathematics and Statistics 43 (4): 625-34. https://izlik.org/JA87XN75CM.
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
[1]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, Aug. 2014, [Online]. Available: https://izlik.org/JA87XN75CM
ISNAD
Shah, Tariq - Rehman, İnayatur - Khan, Asghar. “Fuzzy Γ-Ideals in Γ-AG-Groupoids”. Hacettepe Journal of Mathematics and Statistics 43/4 (August 1, 2014): 625-634. https://izlik.org/JA87XN75CM.
JAMA
1.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, Aug. 2014, pp. 625-34, https://izlik.org/JA87XN75CM.
Vancouver
1.Tariq Shah, İnayatur Rehman, Asghar Khan. Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Aug. 1;43(4):625-34. Available from: https://izlik.org/JA87XN75CM