Projective Geometry on Partially Ordered Sets

DOI10.2307/1998401zbMath0466.51001OpenAlexW4252107605MaRDI QIDQ3918645

Ulrich Faigle, Christian Herrmann

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998401

zbMATH Keywords

incidence structure on partially ordered sets

Mathematics Subject Classification ID

General theory of linear incidence geometry and projective geometries (51A05) Modular lattices, Desarguesian lattices (06C05)

Related Items (15)

On point-irreducible projective lattice geometries ⋮ Exchange properties of combinatorial closure spaces ⋮ The minimal number of join irreducibles of a finite modular lattice ⋮ General geometric lattices and projective geometry of modules ⋮ Frink's theorem for modular lattices ⋮ The core of finite lattices ⋮ A Context-Based Description of the Doubly Founded Concept Lattices in the Variety Generated by M 3 ⋮ On the number of join irreducibles and acyclicity in finite modular lattices ⋮ Acyclic modular lattices and their representations ⋮ Tight embedding of modular lattices into partition lattices: progress and program ⋮ Geometric exchange properties in lattices of finite length ⋮ Lattice geometries ⋮ Fundamental theorem of projective geometry in Lie modules and algebras ⋮ 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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• Projektive Geometrien mit Homomorphismus
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• Subprojective lattices and projective geometry
• Geometries on partially ordered sets
• Primitive Länge und primitive Weite bei modularen Verbänden
• Representations of primary Arguesian lattices
• Geometric aspects of primary lattices
• 'lattices' des groupes abeliens finis
• Self-dual postulates for \(n\)-dimensional geometry
• Characterizations of Finite Projective and Affine Spaces
• Projektive Hjelmslevräume.
• Galois Connexions
• A Unified Theory of Projective Spaces and Finite Abelian Groups

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