Congruence semimodular varieties. I: Locally finite varieties

DOI10.1007/BF01191540zbMath0815.08003OpenAlexW2028587267MaRDI QIDQ1337153

Keith A. Kearnes, Paolo Agliano

Publication date: 2 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf01191540

zbMATH Keywords

congruence extension propertylocally finite varietyaffine varietysubvariety latticequotient latticecongruence semimodular varietygeometric varietysubdirect product decomposition

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10)

Related Items (5)

Semigroups and their lattice of congruences. II ⋮ Congruence semimodular varieties. II: Regular varieties ⋮ Congruence lattices of algebras— the signed labelling ⋮ Neutrabelian algebras ⋮ Locally solvable factors of varieties

Cites Work

• Finite fixed point algebras are subdiagonalisable
• Problems and results in tame congruence theory. A survey of the '88 Budapest workshop
• Characterizing Mal'cev conditions
• The fine spectrum of a variety
• Congruence semimodular varieties. II: Regular varieties
• Abelian algebras and the Hamiltonian property
• Congruence lower semimodularity and 2-finiteness imply congruence modularity
• Theory of equivalence relations
• Atomicity And Nilpotence
• Type Preservation In Locally Finite Varieties with the CEP
• Commutator Theory for Relatively Modular Quasivarieties
• Relatively congruence distributive subquasivarieties of a congruence modular variety
• Algebras Whose Congruence Lattices are Distributive.
• A Characterization of Modularity for Congruence Lattices of Algebras*
• On the lattice of congruences on a semilattice

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