Congruences on graph inverse semigroups
Group Theory
2018-06-29 v1
Abstract
Inverse graph semigroups were defined by Ash and Hall in 1975. They found necessary and sufficient conditions for the semigroups to be congruence free. In this paper we give a description of congruences on a graph inverse semigroup in terms of the underlying graph. As a consequence, we show that the inverse graph semigroup of a finite graph is congruence Noetherian.
Keywords
Cite
@article{arxiv.1806.10721,
title = {Congruences on graph inverse semigroups},
author = {Zheng-Pan Wang},
journal= {arXiv preprint arXiv:1806.10721},
year = {2018}
}
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13 pages