Subdirect decompositions of the lattice of varieties of completely regular semigroups

DOI10.1017/S0004972700003269zbMath0661.20039MaRDI QIDQ3810012

P. G. Trotter

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

varieties of groupscompletely simple semigroupsmodularityvarieties of bandslattice of varietiessubdirect decompositionslocally orthodox completely regular semigroupsjoin distributive elements

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Modular lattices, Desarguesian lattices (06C05)

Related Items (18)

Special elements of the lattice of epigroup varieties ⋮ New operators for varieties of completely regular semigroups. ⋮ An equation for operators on varieties of completely regular semigroups ⋮ Obituary: Libor Polák (1950--2020) ⋮ A semilattice of varieties of completely regular semigroups ⋮ Clusters of varieties of completely regular semigroups ⋮ Kernel classes of varieties of completely regular semigroups. I ⋮ Kernel classes of varieties of completely regular semigroups. II ⋮ Ladders and canonical varieties of completely regular semigroups ⋮ On bases of identities of finite central locally orthodox completely regular semigroups ⋮ Commuting Fully Invariant Congruences on free Completely Regular Semigroups ⋮ Complete Congruences on Lattices of Varieties and of Pseudovarieties ⋮ On some intervals of varieties of completely regular semigroups ⋮ A tribute to Mario Petrich ⋮ On singleton kernel classes in the lattice of varieties of completely regular semigroups ⋮ CHARACTERIZING SOME COMPLETELY REGULAR SEMIGROUPS BY THEIR SUBSEMIGROUPS ⋮ The lattice of varieties of monoids ⋮ Varieties of completely regular semigroups related to canonical varieties.

Cites Work

• All varieties of regular orthogroups
• On varieties of completely regular semigroups. I
• Lattices of completely regular semigroup varieties
• On varieties of completely regular semigroups. II, III
• On the lattice of varieties of bands of groups
• On the varieties of Cliffordian semigroups
• On the varieties of completely regular semigroups
• Varieties of orthodox bands of groups
• On the lattice of varieties of completely simple semigroups
• The lattice of equational classes of idempotent semigroups
• Completely simple semigroups: free products, free semigroups and varieties

This page was built for publication: Subdirect decompositions of the lattice of varieties of completely regular semigroups