Congruence normality: The characterization of the doubling class of convex sets

DOI10.1007/BF01221793zbMath0804.06006OpenAlexW2052295090MaRDI QIDQ1327461

Alan Day

Publication date: 18 July 1994

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01221793

zbMATH Keywords

convex setscongruence normal finite latticescongruence uniform latticesdoubling classpseudo-intervals

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Varieties of lattices (06B20)

Related Items

Congruence normality of simplicial hyperplane arrangements via oriented matroids, Cayley lattices of finite Coxeter groups are bounded, The generalized doubling construction and formal concept analysis, Alan Day's doubling construction, Inflation of finite lattices along all-or-nothing sets, Crosscut-simplicial lattices, Acyclic reorientation lattices and their lattice quotients, Bubble lattices. I: Structure, Chapoton triangles for nonkissing complexes, Lattice properties of oriented exchange graphs and torsion classes, Lattice structure of grid-Tamari orders, Lattice congruences, fans and Hopf algebras., Lattice structure of Weyl groups via representation theory of preprojective algebras, Cambrian lattices., The canonical join complex for biclosed sets, Using congruence relations to extract knowledge from concept lattices, Lattice congruences of the weak order., Distributive lattices have the intersection property, Some Observations on Oligarchies, Internal Direct Sums, and Lattice Congruences

Cites Work

• The generalized doubling construction and formal concept analysis
• Covers in Free Lattices
• Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices
• Doubling Constructions in Lattice Theory
• A Simple Solution to the Word Problem for Lattices