Representations of distributive semilattices in ideal lattices of various algebraic structures

2001/02/01 by K. R. Goodearl · 15 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Banach Space Theory #Advanced Operator Algebra Research #Algebra over a field #Algebraic number #Algebraic structure #Computer science #Dimension (graph theory) #Distributive lattice #Distributive property #Epistemology #Ideal (ethics) #Mathematics #Modular design #Pure mathematics #Representation (politics) #Semilattice #Von Neumann architecture

paper · doi:10.1007/s000120050203

published in Algebra Universalis 45(1), 71-102 (Springer Science and Business Media LLC)

crossref issued 2001/02/01 · crossref published 2001/02/01 · crossref published-print 2001/02/01 · openalex publication_date 2001/02/01 · 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

• K-Theory for Operator Algebras
• Lazard's theorem in algebraic categories
• On congruence lattices of lattices
• Non-measurability properties of interpolation vector spaces
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• On Regular Rings

Cited by

• A survey of recent results on congruence lattices of lattices
• Lattices of two-sided ideals of locally matricial algebras and the Γ-invariant problem
• Distributive congruence lattices of congruence-permutable algebras
• Semilattices of finitely generated ideals of exchange rings with finite stable rank
• Congruence lattice problem [wikipedia]