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EXTENSION OF BM-ALGEBRA INTO AN ALGEBRAIC STRUCTURE WITH TWO BINARY OPERATIONS

In this article, we combine the notions of BM-algebra and semigroup to introduce a ring like structure with two binary operations, which is named as a "BM-semigroup". The concepts of left and right ideals of a BM-semigroup are also introduced and related properties are studied. Some results on homomorphism defined on a BM-semigroup are also given.