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ISSN : 1226-0657

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Vol.30 No.4
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Fuzzy Ideals in Γ-BCK-Algebras

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.4, pp.429-442
https://doi.org/10.7468/jksmeb.2023.30.4.429
Arsham Borumand Saeid (Shahid Bahonar University of Kerman)
M. Murali Krishna Rao (Department of mathematics, Sankethika Institute of Tech. and Management, India)
Rajendra Kumar Kona (Department of mathemathics, GIS, GITAM(Deemed to be University), India)
Arsham, B. S. , M., M. K. R. , & Rajendra, K. K. (2023). Fuzzy Ideals in Γ-BCK-Algebras. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(4), 429-442, https://doi.org/10.7468/jksmeb.2023.30.4.429
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Abstract

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We prove that if f^-1(μ) is a fuzzy ideal of M, then μ is a fuzzy ideal of N, where f : M ! N is an epimorphism of Γ-BCK-algebras M and N.

keywords
(Γ-)BCK-algebra, subalgebra, ideal, fuzzy set, (anti)fuzzy ideal, epimorphism

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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