Congruence lattices of free lattices in non-distributive varieties

DOI10.4064/cm-76-2-269-278zbMath0904.06005arXivmath/0501459OpenAlexW1612252969MaRDI QIDQ4386278

Miroslav Ploščica, Jiři Tůma, Friedrich Wehrung

Publication date: 26 April 1998

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501459

zbMATH Keywords

congruence latticediamondpentagonvon Neumann regular ringKuratowski's theoremfree latticeuniform refinement propertycongruence splitting latticenondistributive variety of lattices

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Lattice ideals, congruence relations (06B10) Varieties of lattices (06B20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Free lattices, projective lattices, word problems (06B25)

Related Items (10)

A \(K_{0}\)-avoiding dimension group with an order-unit of index two ⋮ Distributive congruence lattices of congruence-permutable 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 ⋮ Non-representable distributive semilattices ⋮ Categories of partial algebras for critical points between varieties of algebras. ⋮ Critical points between varieties generated by subspace lattices of vector spaces ⋮ Spectra of the \(\Gamma\)-invariant of uniform modules ⋮ Evaporation schemes in congruence lattices of majority algebras ⋮ Forcing extensions of partial lattices

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