A cover-preserving embedding of semimodular lattices into geometric lattices

DOI10.1016/j.aim.2010.05.001zbMath1226.06004OpenAlexW1976424510MaRDI QIDQ1959666

Gábor Czédli, E. Tamás Schmidt

Publication date: 7 October 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.05.001

zbMATH Keywords

semimodular latticematroidgeometric latticecover-preserving embedding

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Semimodular lattices, geometric lattices (06C10) Structure theory of lattices (06B05) Lattice ideals, congruence relations (06B10)

Related Items (7)

My collaboration with E. T. Schmidt spanning six decades ⋮ Isometrical embeddings of lattices into geometric lattices ⋮ Cover-preserving embeddings of finite length semimodular lattices into simple semimodular lattices ⋮ The best extending cover-preserving geometric lattices of semimodular lattices ⋮ Length-preserving extensions of a semimodular lattice by lowering a join-irreducible element ⋮ A characterization of a semimodular lattice ⋮ Structures of compactly generated lattices described by cut sets of \(L\)-valued sets

Cites Work

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• A construction of semimodular lattices
• Every finite lattice can be embedded in a finite partition lattice
• Cover preserving embedding of modular lattices into partition lattices
• The imbedding problem for modular lattices
• A Semimodular Imbedding of Lattices

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