A survey of recent results on congruence lattices of lattices

2002/12/01 by Jiří Tůma, Ji?� Tuma, Friedrich Wehrung · 7 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Categorical variable #Congruence (geometry) #Geometry #Mathematics #Pure mathematics #Rough Sets and Fuzzy Logic #Statistics

paper · doi:10.1007/s000120200011

crossref issued 2002/12/01 · crossref published 2002/12/01 · crossref published-print 2002/12/01 · openalex publication_date 2002/12/01 · crossref created 2003/11/26 · crossref deposited 2019/05/22 · openalex created_date 2025/10/10 · crossref indexed 2026/04/10 · openalex updated_date 2026/07/23

Citations

• On congruence lattices of lattices
• Non-measurability properties of interpolation vector spaces
• Representations of distributive semilattices in ideal lattices of various algebraic structures
• On Regular Rings

Cited by

• Finite lattices and congruences. A survey
• Liftings of distributive lattices by locally matricial algebras with respect to the Idc functor
• Distributive congruence lattices of congruence-permutable algebras
• Semilattices of finitely generated ideals of exchange rings with finite stable rank
• CONGRUENCE LIFTING OF DIAGRAMS OF FINITE BOOLEAN SEMILATTICES REQUIRES LARGE CONGRUENCE VARIETIES
• Free trees and the optimal bound in Wehrung's theorem
• Congruence lattice problem [wikipedia]