A study on $\Gamma$-$BCK$-algebras
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In this paper, we redefine $\Gamma$-$BCK$-algebras in the sense of Saeid et al. [1] and we introduce the concepts of positive implicative [resp. commutative and implicative] $\Gamma$-$BCK$-algebras and study some of their properties. Also, we define $\Gamma$-subalgebras [resp. positive implicative, commutative and implicative] $\Gamma$-ideals in a $\Gamma$-$BCK$-algebra and investigate several of their properties, relationships among them and their characterizations respectively.
Abstract
In this paper, we redefine $\Gamma$-$BCK$-algebras in the sense of Saeid et al. [1] and we introduce the concepts of positive implicative [resp. commutative and implicative] $\Gamma$-$BCK$-algebras and study some of their properties. Also, we define $\Gamma$-subalgebras [resp. positive implicative, commutative and implicative] $\Gamma$-ideals in a $\Gamma$-$BCK$-algebra and investigate several of their properties, relationships among them and their characterizations respectively.
참고문헌 (23)
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