Finite distributive lattices are congruence lattices of almost-geometric lattices

DOI10.1007/s00012-011-0119-2zbMath1233.06007OpenAlexW2045087226MaRDI QIDQ535114

Gábor Czédli, E. Tamás Schmidt

Publication date: 11 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00012-011-0119-2

zbMATH Keywords

representationsemimodular latticecongruence latticedistributive lattice

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05) Semimodular lattices, geometric lattices (06C10) Lattice ideals, congruence relations (06B10)

Related Items (4)

My collaboration with E. T. Schmidt spanning six decades ⋮ Strongly algebraically closed Cevian lattices ⋮ Strongly algebraically closed \(p\)-semilattices ⋮ Representing some families of monotone maps by principal lattice congruences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dilworth theorems. Selected papers of Robert P. Dilworth. Edited by Kenneth P. Bogart, Ralph Freese and Joseph P. S. Kung
• Subdirect representation and semimodularity of weak congruence lattices
• A solution to Dilworth's congruence lattice problem
• Notes on sectionally complemented lattices. III. The general problem
• Finite lattices and congruences. A survey
• Congruence Lattices of Finite Semimodular Lattices
• Small Representations of Finite Distributive Lattices as Congruence Lattice
• Congruence Lattices of Small Planar Lattices
• Free trees and the optimal bound in Wehrung's theorem
• On congruence lattices of lattices

This page was built for publication: Finite distributive lattices are congruence lattices of almost-geometric lattices