Congruences and prime-perspectivities in finite lattices.

DOI10.1007/S00012-015-0355-YzbMath1326.06009arXiv1312.2537OpenAlexW2100089284MaRDI QIDQ745716

George Grätzer

Publication date: 14 October 2015

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

Full work available at URL: https://arxiv.org/abs/1312.2537

zbMATH Keywords

congruencesfinite latticesplanar semimodular latticescongruence-perspectivitiesprime intervalsprime-perspectivitiesswing lemma

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Lattice ideals, congruence relations (06B10)

Related Items (11)

Diagrams and rectangular extensions of planar semimodular lattices ⋮ Characterizing fully principal congruence representable distributive lattices ⋮ Congruences of fork extensions of slim, planar, semimodular lattices ⋮ Congruence structure of planar semimodular lattices: the general swing lemma ⋮ Representing an isotone map between two bounded ordered sets by principal lattice congruences ⋮ Lattice homomorphisms between weak orders ⋮ Complete congruence lattices of two related modular lattices ⋮ Congruences in slim, planar, semimodular lattices: The Swing Lemma ⋮ Lattices with many congruences are planar ⋮ Representing some families of monotone maps by principal lattice congruences ⋮ Cometic functors and representing order-preserving maps by principal lattice congruences

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