Patch extensions and trajectory colorings of slim rectangular lattices.

DOI10.1007/S00012-014-0294-ZzbMath1312.06005OpenAlexW1994458049MaRDI QIDQ466921

Gábor Czédli

Publication date: 31 October 2014

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

Full work available at URL: http://real.mtak.hu/57452/1/111-czedli_patch-ext-traj-color_mta-rep.pdf

zbMATH Keywords

congruence latticesrectangular latticeslattice coloringspatch extensionspatch latticesslim semimodular lattices

Mathematics Subject Classification ID

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

Related Items (15)

A property of meets in slim semimodular lattices and its application to retracts ⋮ Diagrams and rectangular extensions of planar semimodular lattices ⋮ The number of slim rectangular lattices. ⋮ 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 ⋮ Cyclic congruences of slim semimodular lattices and non-finite axiomatizability of some finite structures ⋮ Lattices of retracts of direct products of two finite chains and notes on retracts of lattices ⋮ Length-preserving extensions of a semimodular lattice by lowering a join-irreducible element ⋮ Congruences in slim, planar, semimodular lattices: The Swing Lemma ⋮ 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.

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