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arXiv · 1806.10721

Congruences on graph inverse semigroups

Zheng-Pan Wang
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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.

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Zheng-Pan Wang. 2018-06-28. Congruences on graph inverse semigroups. https://arxiv.org/abs/1806.10721

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