Commuting Fully Invariant Congruences on free Completely Regular Semigroups

DOI10.2307/2001617zbMath0716.20040OpenAlexW4240970555MaRDI QIDQ3203230

Francis Pastijn

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001617

zbMATH Keywords

modularityfree completely regular semigrouplattice of fully invariant congruencesvarieties of completely regular semigroupsarguesian sublatticelattice of commuting congruences

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17) Congruence modularity, congruence distributivity (08B10) Modular lattices, Desarguesian lattices (06C05) Mappings of semigroups (20M15)

Related Items (6)

Semigroup varieties with 1.5-permutable fully invariant congruences on their free objects. ⋮ Proofs of definability of some varieties and sets of varieties of semigroups. ⋮ Two weaker variants of congruence permutability for monoid varieties ⋮ Lattices of semigroup varieties ⋮ On singleton kernel classes in the lattice of varieties of completely regular semigroups ⋮ The lattice of varieties of monoids

Cites Work

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• On varieties of completely regular semigroups. I
• On varieties of completely regular semigroups. II, III
• On the lattice of varieties of bands of groups
• The lattice of equational classes of idempotent semigroups
• Congruences on Regular Semigroups
• Subdirect decompositions of the lattice of varieties of completely regular semigroups
• Arguesian lattices which are not linear
• All Varieties of Bands I
• On the representation of lattices
• The free completely regular semigroup on a set

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