POSET REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES

DOI10.1142/S0218196708004469zbMath1161.06002arXivmath/0601058MaRDI QIDQ3520363

Friedrich Wehrung

Publication date: 26 August 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601058

zbMATH Keywords

posetdistributionsemilatticecongruence lattice representation problem

Mathematics Subject Classification ID

Partial orders, general (06A06) Lattice ideals, congruence relations (06B10) Semilattices (06A12)

Related Items (1)

Categories of partial algebras for critical points between varieties of algebras.

Cites Work

• Liftings of distributive lattices by locally matricial algebras with respect to the \(\text{Id}_c\) functor
• Distributive congruence lattices of congruence-permutable algebras
• Forcing extensions of partial lattices
• Refinement monoids, Vaught monoids, and Boolean algebras
• Congruence lattices of algebras of fixed similarity type. II
• A solution to Dilworth's congruence lattice problem
• Distributive semilattices as retracts of ultraboolean ones; functorial inverses without adjunction
• A new lattice construction
• Lifting retracted diagrams with respect to projectable functors
• A uniform refinement property for congruence lattices
• SIMULTANEOUS REPRESENTATIONS OF SEMILATTICES BY LATTICES WITH PERMUTABLE CONGRUENCES
• CONGRUENCE LIFTING OF DIAGRAMS OF FINITE BOOLEAN SEMILATTICES REQUIRES LARGE CONGRUENCE VARIETIES
• On the representation of lattices
• On the distributivity of a lattice of lattice-congruences
• On congruence lattices of lattices

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