Subprojective lattices and projective geometry

DOI10.1016/0021-8693(77)90309-XzbMath0434.06013MaRDI QIDQ1139613

Mario Petrich, George Markowsky

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

lattice of subspacesdouble covering conditiondual-atomistic latticefinite dimensional projective spacesgeometric mappingssubprojective lattice

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10) General theory of linear incidence geometry and projective geometries (51A05) Incidence structures embeddable into projective geometries (51A45) Complemented modular lattices, continuous geometries (06C20) Lattices of subspaces and geometric closure systems (51D25)

Related Items

General geometric lattices and projective geometry of modules ⋮ Projective Geometry on Partially Ordered Sets ⋮ Primes, irreducibles and extremal lattices ⋮ Complemented modular lattices with involution and orthogonal geometry

Cites Work

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• Zentrale Automorphismen von \(\lambda\)-Räumen
• Some characterizations of finite projective spaces
• Congruences of extensions of semigroups
• Jacobson-type theorems for lattices
• Self-dual postulates for \(n\)-dimensional geometry
• Structured theorems for relatively complemented lattices
• The Factorization and Representation of Lattices
• Characterizations of Finite Projective and Affine Spaces
• On Infinite-Dimensional Linear Spaces