Maximal homomorphic images of commutative semigroups
D. B. McAlister, Liam O’Carroll · Glasgow Mathematical Journal · 1971
In this paper we give necessary and sufficient conditions on a commutative semigroup in order that it should have a maximal homomorphic image of one of the following types: (1) groups, (2) semigroups which are unions of groups and (3) pseudoinvertible semigroups, i. e. semigroups having the property that some power of each element lies in a subgroup of the semigroup.