On Monoid Congruences of Commutative Semigroups

Attila László Nagy · arXiv (Cornell University) · 2015

In this paper we characterize the monoid congruences of commutative semigroups by the help of the notion of the separator of subsets of semigroups. We show that every monoid congruence of a commutative semigroup S can be constructed by the help of subsets A of S whose separator is not empty.

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