Maximal homomorphic images of commutative semigroups
Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 12-17

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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.
McAlister, D. B.; O'Carroll, L. Maximal homomorphic images of commutative semigroups. Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 12-17. doi: 10.1017/S0017089500001087
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