The Gamma-BE-ALGEBRAS

초록

We introduce the concept of as a generalization of a Gamma-BE-algebra and study its properties. For a fixed binary operation alpha in a set of binary operations on a non-empty set X, we introduce the concepts of beta-reflexive, beta-transitive, beta-antisymmetric, alpha-transitive, alpha-left distributive and alpha-left distributive Gamma(alpha)-BE-algebra and study the relations between them. We introduce the concept of beta-subalgebra and beta-filter in a Gamma(alpha)-BE-algebra and study the relation between alpha-subalgebra, alpha-filter and beta-subalgebra in a Gamma(alpha)-BE-algebra.

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