Commutator Theory Without Join-Distributivity

DOI10.2307/2154948zbMath0809.08001OpenAlexW4243281454MaRDI QIDQ4321191

Paolo Lipparini

Publication date: 29 March 1995

Full work available at URL: https://doi.org/10.2307/2154948

zbMATH Keywords

inverse semigroupscommutator identitieslocally finite varietiespermutabilitycommutator theorycongruence identitiescongruence modular varieties\(n\)-permutable varietiessolvable congruencesabelian congruencescongruence lattice of algebras

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) Congruence modularity, congruence distributivity (08B10) Inverse semigroups (20M18) Varieties (08B99)

Related Items (8)

Characterizing the commutator in varieties with a difference term ⋮ Finitely based congruence varieties ⋮ Relative Maltsev definability of some commutator properties ⋮ A finite basis theorem for difference-term varieties with a finite residual bound ⋮ Every $m$-permutable variety satisfies the congruence identity $\alpha\beta_h= \alpha \gamma_h$ ⋮ The shape of congruence lattices ⋮ \(n\)-permutable varieties satisfy non trivial congruence identities ⋮ Congruence modularity implies the Arguesian law for single algebras with a difference term

Cites Work

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• AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR

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