The dimension monoid of a lattice

1998/01/01 by Friedrich Wehrung · 4 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Bounded function #Combinatorics #Dimension (graph theory) #Dimension theory (algebra) #Discrete mathematics #Lattice (music) #Mathematical analysis #Mathematics #Monoid #Pure mathematics #Rings, Modules, and Algebras #Semigroup #Semilattice #semigroups and automata theory

paper · doi:10.1007/s000120050091

crossref issued 1998/01/01 · crossref published 1998/01/01 · crossref published-print 1998/01/01 · openalex publication_date 1998/01/01 · crossref created 2002/08/25 · crossref deposited 2019/05/22 · openalex created_date 2025/10/10 · crossref indexed 2026/04/10 · openalex updated_date 2026/07/29

Citations

• Refinement monoids, Vaught monoids, and Boolean algebras
• Non-measurability properties of interpolation vector spaces
• On congruence lattices of lattices

Cited by

• Forcing extensions of partial lattices
• Semilattices of finitely generated ideals of exchange rings with finite stable rank
• Representation of algebraic distributive lattices with ℵ₁ compact elements as ideal lattices of regular rings
• Congruence lattice problem [wikipedia]