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 [Formula: see text], the affine near-semiring over a Brandt semigroup [Formula: see text]. It is ascertained that both the semigroup reducts of [Formula: see text] are syntactic semigroups.
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