The Kurosh-Ore exchange property

DOI10.1007/BF02170062zbMath0675.06003MaRDI QIDQ1121928

S. H. Smith

Publication date: 1989

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

semimodular latticejoin irreducibles\(\vee \)- representationclosure structureconsistent latticesKurosh-Ore exchange property

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Structure theory of lattices (06B05)

Related Items (9)

Interval decomposition lattices are balanced ⋮ Graph Automorphisms and Cells of Lattices ⋮ A converse to the Kurosh-Ore theorem ⋮ On the covering graph of balanced lattices ⋮ The lattice of compatible quasiorders of acyclic monounary algebras ⋮ Hereditarily strong lattices ⋮ Consistent dually semimodular lattices ⋮ On the Kurosh-Ore replacement property in semimodular lattices ⋮ Strongness in semimodular lattices

Cites Work

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• Subdirect decomposition of concept lattices
• Matchings and Radon transforms in lattices. I: Consistent lattices
• Matchings for linearly indecomposable modular lattices
• Meet-distributive lattices and the anti-exchange closure
• S-verklebte Summen von Verbänden
• Decomposition Theory for Nonsemimodular Lattices

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