Congruences in slim, planar, semimodular lattices: The Swing Lemma

DOI10.14232/actasm-015-757-1zbMath1374.06017arXiv1412.8558OpenAlexW1656879750WikidataQ124969529 ScholiaQ124969529MaRDI QIDQ2973184

George Grätzer

Publication date: 31 March 2017

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8558

zbMATH Keywords

congruenceprime intervalperspectivitycongruence-perspectivityprime-perspectivity

Mathematics Subject Classification ID

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

Related Items

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 ⋮ Absolute retracts for finite distributive lattices and slim semimodular lattices ⋮ A new property of congruence lattices of slim, planar, semimodular lattices ⋮ Congruences and prime-perspectivities in finite lattices. ⋮ Eighty-three sublattices and planarity

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