English

On Monoid Congruences of Commutative Semigroups

Group Theory 2015-01-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1501.04302,
  title  = {On Monoid Congruences of Commutative Semigroups},
  author = {Attila Nagy},
  journal= {arXiv preprint arXiv:1501.04302},
  year   = {2015}
}

Comments

5 pages

R2 v1 2026-06-22T08:04:56.476Z