On congruence lattices of regular semigroups

DOI10.1016/0021-8693(83)90171-0zbMath0515.20047OpenAlexW2024635624MaRDI QIDQ1051735

Peter R. Jones

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90171-0

zbMATH Keywords

idempotentsmaximal subgroupsregular semigroupsdistributivityinverse semigroupsmodularitysemimodularitylattices of normal subgroupssemilattices of groupsbands of groupscomplete congruencehypersemisimple semigroupslattice of congruence relationspseudo-inverse semigroupsregular group bound semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semimodular lattices, geometric lattices (06C10) Subalgebras, congruence relations (08A30) Modular lattices, Desarguesian lattices (06C05) Mappings of semigroups (20M15)

Related Items (9)

Semigroups and their lattice of congruences. II ⋮ Congruences on strong semilattices of regular simple semigroups ⋮ The congruence lattice of a combinatorial strict inverse semigroup ⋮ Distributivity in congruence lattices of graph inverse semigroups ⋮ On congruence lattices of nilsemigroups ⋮ Congruence lattices of algebras— the signed labelling ⋮ The congruence lattice of a strict regular semigroup ⋮ Congruences on semigroups with the congruence extension property ⋮ Semimodularity of the congruence lattice on regular \(\omega\)-semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the lattice of varieties of bands of groups
• Semimodularity in lattices of congruences
• Idempotent semigroups with distributive right congruence lattices
• Bands with distributive congruence lattice
• The lattice of congruences on a band of groups
• Semimodular Inverse Semigroups
• Semigroups satisfying minimal conditions II
• Congruence Relations in Semi-Lattices
• Certain congruence and quotient lattices related to completely 0-simple and primitive regular semigroups
• On the lattice of congruences on a regular semigroup
• On the natural ordering of -classes and of idempotents in a regular semigroup
• On the lattice of congruences on a semilattice
• One-Parameter Inverse Semigroups
• θ-Modular Bands of Groups
• Congruences on regular semigroups

This page was built for publication: On congruence lattices of regular semigroups