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

摘要

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