Congruences of fork extensions of slim, planar, semimodular lattices

DOI10.1007/s00012-016-0394-zzbMath1370.06004arXiv1307.8404OpenAlexW2509077672MaRDI QIDQ331012

George Grätzer

Publication date: 26 October 2016

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

Full work available at URL: https://arxiv.org/abs/1307.8404

zbMATH Keywords

semimodular latticecongruenceplanar latticeslim latticefork extensionjoin-irreducible congruenceprime interval

Mathematics Subject Classification ID

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

Related Items

Notes on join semidistributive lattices ⋮ Congruence structure of planar semimodular lattices: the general swing lemma ⋮ Cyclic congruences of slim semimodular lattices and non-finite axiomatizability of some finite structures ⋮ Absolute retracts for finite distributive lattices and slim semimodular lattices ⋮ Congruences in slim, planar, semimodular lattices: The Swing Lemma ⋮ Patch extensions and trajectory colorings of slim rectangular lattices. ⋮ A note on congruence lattices of slim semimodular lattices. ⋮ An extension theorem for planar semimodular lattices. ⋮ A new property of congruence lattices of slim, planar, semimodular lattices ⋮ A technical lemma for congruences of finite lattices ⋮ Congruences and prime-perspectivities in finite lattices. ⋮ Notes on planar semimodular lattices. VIII. Congruence lattices of SPS lattices ⋮ Eighty-three sublattices and planarity

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