Modelling of ring geometry from von Neumann's point of view

DOI10.1007/s10958-013-1360-3zbMath1280.51002OpenAlexW1967134888MaRDI QIDQ384715

P. Gurtskaia, A. A. Lashkhi

Publication date: 28 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1360-3

zbMATH Keywords

\(D\)-semimodular latticesDesargues configurationsPappus configurationsPasch configurations

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Cites Work

• Chain conditions in \(D\)-semimodular lattices.
• Fundamental theorem of projective geometry in Lie modules and algebras
• Affine geometry of modules over a ring with an invariant basis number
• Lattices with modular identity and Lie algebras
• General geometric lattices and projective geometry of modules
• Coordinatization of PI-geometric lattices
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