An extension theorem for planar semimodular lattices.

DOI10.1007/s10998-014-0035-2zbMath1320.06007arXiv1304.7489OpenAlexW1988444556MaRDI QIDQ484555

E. Tamás Schmidt, George Grätzer

Publication date: 7 January 2015

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7489

zbMATH Keywords

congruence latticesprincipal congruencesfinite distributive latticesplanar semimodular latticesrectangular lattice extensions

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Semimodular lattices, geometric lattices (06C10) Lattice ideals, congruence relations (06B10)

Related Items (8)

Diagrams and rectangular extensions of planar semimodular lattices ⋮ My collaboration with E. T. Schmidt spanning six decades ⋮ Congruences of fork extensions of slim, planar, semimodular lattices ⋮ A convex combinatorial property of compact sets in the plane and its roots in lattice theory ⋮ Congruence structure of planar semimodular lattices: the general swing lemma ⋮ Congruences in slim, planar, semimodular lattices: The Swing Lemma ⋮ Representing some families of monotone maps by principal lattice congruences ⋮ Eighty-three sublattices and planarity

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