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$\Gamma$-$BCH$-algebras and their application to topology

M. Cheong|Samy M. Mostafa|K. Hur|J. I. Baek|Moin A. Ansari
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2024.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제28권 제1호|pp. 15-36|DOI 10.30948/afmi.2024.28.1.15

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참고문헌

키워드

Γ-$BCH$-algebraMedial Γ-$BCH$-algebraΓ-$BCH$-idealQuotient Γ-$BCH$-algebraLeft mappingSemitopological Γ-$BCH$-algebra

초록

In this paper, we define $\Gamma$-$BCH$-algebras as a subclass of $\Gamma$-$BCK$-algebras and study their various properties. Next, we propose the notion of $\Gamma$-$BCH$-ideals and discuss some of its properties. Finally, we deal with some topological structures on $\Gamma$-$BCH$-algebras.

Abstract

In this paper, we define $\Gamma$-$BCH$-algebras as a subclass of $\Gamma$-$BCK$-algebras and study their various properties. Next, we propose the notion of $\Gamma$-$BCH$-ideals and discuss some of its properties. Finally, we deal with some topological structures on $\Gamma$-$BCH$-algebras.

참고문헌 (27)

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