Frink's theorem for modular lattices

DOI10.1007/BF01223687zbMath0438.06004MaRDI QIDQ1141669

Ulrich Faigle

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

projective geometrycomplete modular latticeFrink's theoremjoint of compact join- irreducible elementslattice identities

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Complemented lattices, orthocomplemented lattices and posets (06C15) Modular lattices, Desarguesian lattices (06C05)

Related Items (6)

A geometric description of modular lattices ⋮ Biatomic lattices ⋮ \(n\)-distributivity, dimension and Carathéodory's theorem ⋮ Lattice geometries ⋮ Selectors: a theory of formal languages, semimodular lattices, and branching and shelling processes ⋮ Join-semidistributive lattices and convex geometries.

Cites Work

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• The imbedding problem for modular lattices
• Projective Geometry on Partially Ordered Sets
• Complemented Modular Lattices and Projective Spaces of Infinite Dimension

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