A converse to the Kurosh-Ore theorem

DOI10.1007/BF02188203zbMath0856.06007MaRDI QIDQ1912686

Manfred Stern

Publication date: 24 February 1997

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

zbMATH Keywords

semimodular latticemodularityalgebraic latticesKurosh-Ore replacement property

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Semimodular lattices, geometric lattices (06C10) Complemented modular lattices, continuous geometries (06C20)

Related Items (1)

On the Kurosh-Ore replacement property

Cites Work

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• On the Kurosh-Ore replacement property in semimodular lattices
• Matchings and Radon transforms in lattices. I: Consistent lattices
• The Kurosh-Ore exchange property
• Geometries on partially ordered sets
• Lattices with unique irreducible decompositions
• The arithmetical theory of Birkhoff lattices
• The isomorphism theorem in compactly generated lattices
• Decomposition Theory for Nonsemimodular Lattices

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