Fuzzy Γ-ideals in Γ-AG-groupoids

Tariq Shah; İnayatur Rehman; Asghar Khan

Research Article

Fuzzy Γ-ideals in Γ-AG-groupoids

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

Tariq Shah , İnayatur Rehman Asghar Khan

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

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

References

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

Tariq Shah , İnayatur Rehman Asghar Khan

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Research Article
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. 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.Shah T, Rehman İ, Khan A. 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