Non-representable distributive semilattices

DOI10.1016/j.jpaa.2008.03.014zbMath1148.06002OpenAlexW2026041408MaRDI QIDQ942205

Miroslav Ploščica

Publication date: 4 September 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.03.014

zbMATH Keywords

distributive semilatticesalgebraic latticescongruence lattice of a lattice

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30) Semilattices (06A12)

Related Items (4)

Infinite combinatorial issues raised by lifting problems in universal algebra ⋮ The possible values of critical points between strongly congruence-proper varieties of algebras ⋮ Uncountable critical points for congruence lattices ⋮ Evaporation schemes in congruence lattices of majority algebras

Cites Work

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• A survey of recent results on congruence lattices of lattices.
• A solution to Dilworth's congruence lattice problem
• Local separation in distributive semilattices
• A uniform refinement property for congruence lattices
• Congruence lattices of free lattices in non-distributive varieties
• Separation properties in congruence lattices of lattices
• Free trees and the optimal bound in Wehrung's theorem
• Sur une caractérisation des alephs
• On congruence lattices of lattices

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