SIMULTANEOUS REPRESENTATIONS OF SEMILATTICES BY LATTICES WITH PERMUTABLE CONGRUENCES
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Publication:4786277
DOI10.1142/S0218196701000516zbMath1043.06003arXivmath/0501417MaRDI QIDQ4786277
Publication date: 15 December 2002
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501417
uniform refinement propertypermutable congruenceBoolean semilatticescongruence lattice problemcongruence representationcongruence-splittingdiagram of lattice
Lattice ideals, congruence relations (06B10) Semilattices (06A12) Galois correspondences, closure operators (in relation to ordered sets) (06A15)
Related Items (11)
A \(K_{0}\)-avoiding dimension group with an order-unit of index two ⋮ Distributive congruence lattices of congruence-permutable algebras ⋮ POSET REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES ⋮ Lifting defects for nonstable \(K_{0}\)-theory of exchange rings and \(C^*\)-algebras ⋮ Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. I: Interval equivalence. ⋮ A solution to Dilworth's congruence lattice problem ⋮ From noncommutative diagrams to anti-elementary classes ⋮ Categories of partial algebras for critical points between varieties of algebras. ⋮ Forcing extensions of partial lattices ⋮ A new lattice construction: The box product ⋮ CONGRUENCE LIFTING OF DIAGRAMS OF FINITE BOOLEAN SEMILATTICES REQUIRES LARGE CONGRUENCE VARIETIES
Cites Work
- Vaught measures and their applications in lattice theory
- Non-measurability properties of interpolation vector spaces
- The structure of relatively complemented lattices
- A uniform refinement property for congruence lattices
- Congruence-preserving extensions of finite lattices to sectionally complemented lattices
- On congruence lattices of lattices
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