Semimodularity in congruence lattices of graph inverse semigroups

DOI10.1080/00927872.2021.1879826OpenAlexW3133406123MaRDI QIDQ4994050

Zheng-Pan Wang, Yongle Luo

Publication date: 14 June 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15745

zbMATH Keywords

graph inverse semigroupscongruence tripleslower semimodular latticeupper semimodular lattice

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Inverse semigroups (20M18)

Related Items (2)

Monounary algebras containing subalgebras with meet-irreducible congruence lattice ⋮ Distributivity in congruence lattices of graph inverse semigroups

Cites Work

• Topological graph inverse semigroups
• The structure of a graph inverse semigroup
• Graph inverse semigroups: their characterization and completion.
• Graphs, groupoids, and Cuntz-Krieger algebras
• Cuntz-Krieger algebras of directed graphs
• Inverse semigroups on graphs
• Graphs and their associated inverse semigroups
• Congruences on graph inverse semigroups
• The Leavitt path algebra of a graph.
• Closed inverse subsemigroups of graph inverse semigroups
• ON SUBSHIFTS AND SEMIGROUPS
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