Generators for complemented modular lattices and the von Neumann-Jónsson coordinatization theorems

DOI10.1007/s00012-010-0064-5zbMath1205.06004OpenAlexW1985108987MaRDI QIDQ992012

Christian Herrmann

Publication date: 8 September 2010

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

Full work available at URL: https://doi.org/10.1007/s00012-010-0064-5

zbMATH Keywords

regular ringframecoordinatizationvon Neumanncomplemented modular lattice

Mathematics Subject Classification ID

Complemented modular lattices, continuous geometries (06C20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

Coordinatization of lattices by regular rings without unit and Banaschewski functions ⋮ The ring of an outer von Neumann frame in modular lattices ⋮ Generators of existence varieties of regular rings and complemented Arguesian lattices ⋮ A non-coordinatizable sectionally complemented modular lattice with a large Jónsson four-frame

Cites Work

• A non-coordinatizable sectionally complemented modular lattice with a large Jónsson four-frame
• Representation of homomorphisms between submodule lattices
• Coordinatization of lattices by regular rings without unit and Banaschewski functions
• A heteroscedastic bivariate distribution arising from a model for rater agreement, and its fitting by simulation
• Any orthocomplemented complete modular lattice is a continuous geometry
• Representations of Complemented Modular Lattices
• A SIMPLIFIED PROOF OF VON NEUMANN'S COORDINATIZATION THEOREM
• On the Arithmetic of Projective Coordinate Systems
• Coordination Applied to Finite Baer ∗ Rings
• Representations of Relatively Complemented Modular Lattices
• VON NEUMANN COORDINATIZATION IS NOT FIRST-ORDER
• Complemented Modular Lattices and Projective Spaces of Infinite Dimension
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