On lattice of congruences on graph inverse semigroups

2020/06/28 by Yongle Luo, Luo, Yongle, Zhengpan Wang +1
Computer Science · Mathematics · #20M18 #Advanced Algebra and Logic #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2006.15745

openalex publication_date 2020/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Distributivity in congruence lattices of graph inverse semigroups
• Congruences on graph inverse semigroups
• Graph inverse semigroups and their substructures
• Graphs and Their Associated Inverse Semigroups
• The Lattice of One-Sided Congruences on an Inverse Semigroup