Syntactic semigroup problem for the semigroup reducts of Affine Near-semirings over Brandt Semigroups

Abstract

The syntactic semigroup problem is to decide whether a given finite semigroup is syntactic or not. This work investigates the syntactic semigroup problem for both the semigroup reducts of A+(Bn), the affine near-semiring over a Brandt semigroup Bn. It is ascertained that both the semigroup reducts of A+(Bn) are syntactic semigroups.

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