VON NEUMANN COORDINATIZATION IS NOT FIRST-ORDER

DOI10.1142/S0219061306000499zbMath1106.06002arXivmath/0409250OpenAlexW2050051551MaRDI QIDQ5485747

Friedrich Wehrung

Publication date: 4 September 2006

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409250

zbMATH Keywords

centermodular latticevon Neumann regular ringcomplemented lattice2-distributive latticecoordinatizable lattice

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05) Complemented modular lattices, continuous geometries (06C20) Ultraproducts and related constructions (03C20) Other infinitary logic (03C75) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

Categoricity, amalgamation, and tameness ⋮ Coordinatization of lattices by regular rings without unit and Banaschewski functions ⋮ The ring of an outer von Neumann frame in modular lattices ⋮ Real spectrum versus \(\ell\)-spectrum via Brumfiel spectrum ⋮ From noncommutative diagrams to anti-elementary classes ⋮ A non-coordinatizable sectionally complemented modular lattice with a large Jónsson four-frame ⋮ Generators for complemented modular lattices and the von Neumann-Jónsson coordinatization theorems ⋮ Examples of non-locality

Cites Work

• Unnamed Item
• A geometric description of modular lattices
• Alan Day's work on modular and arguesian lattices
• The dimension monoid of a lattice
• Representations of primary Arguesian lattices
• Representations of Complemented Modular Lattices
• A uniform refinement property for congruence lattices
• Zariski geometries
• Representations of Relatively Complemented Modular Lattices
• On the representation of lattices

This page was built for publication: VON NEUMANN COORDINATIZATION IS NOT FIRST-ORDER