Epis and Permutative Posemigroups

Abstract

We show that the permutation identity = is preserved by every posemigroup epimorphism. Next, we determine an identity I other than permutation idenity such every epimorphisim from a permutative posemigroup satisfying the identity I  is surjective. Finally, we show that any identity other than permutation identity satisfying by a permutative posemigroup is preserved under epimorphisms.