2015•arXiv (Cornell University)Open access

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

Jitender Kumar, K. V. Krishna

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 $A^+(B_n)$, the affine near-semiring over a Brandt semigroup $B_n$. It is ascertained that both the semigroup reducts of $A^+(B_n)$ are syntactic semigroups.

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Key concepts: Semigroup, Bicyclic semigroup, Mathematics, Affine transformation, Semiring, Cancellative semigroup, Pure mathematics, Discrete mathematics