On lattice of congruences on graph inverse semigroups
Group Theory
2020-06-30 v1
Abstract
Congruences on a graph inverse semigroup were recently described in terms of the underline graph. Based on such descriptions, we show that the lattice of congruences on a graph inverse semigroup is upper semimodular but not lower semimodular.
Cite
@article{arxiv.2006.15745,
title = {On lattice of congruences on graph inverse semigroups},
author = {Yongle Luo and Zhengpan Wang},
journal= {arXiv preprint arXiv:2006.15745},
year = {2020}
}
Comments
15 pages