On congruence distributivity and modularity

DOI10.1007/BF01194531zbMath0548.08003OpenAlexW2048281236MaRDI QIDQ799714

Ralph Freese, Gábor Czédli

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01194531

zbMATH Keywords

congruence latticescongruence modularityvariety of algebraslattice equationcongruence distributivity

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Congruence modularity, congruence distributivity (08B10) Modular lattices, Desarguesian lattices (06C05)

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Cites Work

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• On some identities valid in modular congruence varieties
• Varieties whose congruences satisfy certain lattice identities
• A test for identities satisfied in lattices of submodules
• Lattice conditions implying congruence modularity
• p-modularity implies modularity in equational classes
• 3-3 lattice inclusions imply congruence modularity