Abstract:Several algebraic structures have been studied by many authors to discuss the relationships among them. This article aims to study two algebraic structures, namely semigroup and BA-algebra, by combining them in one form, namely BA-semigroup and investigate some of its properties. This paper studied the BA-sub-semigroup, an ideal and BA-homomorphism of a BA-semigroup with some of their properties. Some examples are given to illustrate the results.
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