Some applications of the term condition

DOI10.1007/BF02483903zbMath0483.08004MaRDI QIDQ1163042

Walter Taylor

Publication date: 1982

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

zbMATH Keywords

congruence latticemodular varietiescommutatorpermutable varietiesvarieties of modulesterm conditionlattice of congruence relations

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Congruence modularity, congruence distributivity (08B10)

Related Items (19)

Bjarni Jónsson's contributions in algebra ⋮ A perspective on algebraic representations of lattices ⋮ Categorical quasivarieties revisited ⋮ TC semigroups and inflations ⋮ Finite algebras with Abelian properties ⋮ Absolute Subretracts and Weak Injectives in Congruence Modular Varieties ⋮ Weak distributive laws and their role in lattices of congruences and equational theories ⋮ The number of non-isomorphic models in quasi-varieties of semigroups ⋮ Congruences, equational theories and lattice representations ⋮ TC operations and Latin bricks ⋮ Deductive Varieties of Modules and Universal Algebras ⋮ Every $m$-permutable variety satisfies the congruence identity $\alpha\beta_h= \alpha \gamma_h$ ⋮ Commutator Theory Without Join-Distributivity ⋮ \(n\)-permutable varieties satisfy non trivial congruence identities ⋮ Congruence modularity implies the Arguesian law for single algebras with a difference term ⋮ A new proof of Gumm's theorem ⋮ Clones satisfying the term condition ⋮ Quasi-affine algebras ⋮ Semigroups obeying the term condition

Cites Work

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• A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity
• An easy way to the commutator in modular varieties
• Laws obeyed by topological algebras - extending results of Hopf and Adams
• Congruence lattices of algebras of fixed similarity type. I
• On \(n\)-permutable congruences
• Residually Small Varieties with Modular Congruence Lattices
• A Characterization of Modularity for Congruence Lattices of Algebras*
• On the representation of lattices

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