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$\Gamma$-$BCI$-algebras and their application to topology
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In this paper, we define a $\Gamma$-$BCI$-algebra as a subclass of $\Gamma$-$BCK$-algebras and obtain its various properties. Next, we propose the notion of $\Gamma$-ideals and deal with some of its properties. Finally, we study some topological structures on $\Gamma$-$BCI$-algebras and quotient $\Gamma$-$BCI$-algebras respectively.
Abstract
In this paper, we define a $\Gamma$-$BCI$-algebra as a subclass of $\Gamma$-$BCK$-algebras and obtain its various properties. Next, we propose the notion of $\Gamma$-ideals and deal with some of its properties. Finally, we study some topological structures on $\Gamma$-$BCI$-algebras and quotient $\Gamma$-$BCI$-algebras respectively.
관련 논문AI추천
$\Gamma$-$BCH$-algebras and their application to topologyJ. I. Baek, K. Hur, M. Cheong, Moin A. Ansari, Samy M. Mostafa기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제1호$\Gamma$-$KU$-algebrasFatema. F. Kareem, J. I. Baek, K.Hur, Samy M. Mostafa, S. H. Han기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제27권 제1호A study on $\Gamma$-$BCK$-algebrasD. L. Shi, J. I. Baek, K.Hur, M. Cheong, S. H. Han기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제3호TOPOLOGICAL PROPERTIES IN BCC-ALGEBRAS권석환, 안선신대한수학회 · 대한수학회논문집2008 · 제23권 제2호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호Topology of cubic bipolar structures and its application on Q-algebra허걸, 이정곤, Fatema. F. Kareem, S. M. Mostafa기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제1호
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