Lattice-ordered reduced special groups

DOI10.1016/j.apal.2004.06.005zbMath1080.03017OpenAlexW2005162705MaRDI QIDQ703835

Francisco Miraglia, Murray A. Marshall, Max A. Dickmann

Publication date: 11 January 2005

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2004.06.005

zbMATH Keywords

quadratic formlattice-ordered grouplocal-global principleBoolean spacespecial group

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Ordered groups (06F15)

Related Items (6)

THE pp CONJECTURE FOR SPACES OF ORDERINGS OF RATIONAL CONICS ⋮ On profinite spaces of orderings ⋮ The profinite hull of special groups and local-global principles ⋮ The pp conjecture for the space of orderings of the field \(\mathbb R(x,y)\) ⋮ Quotients of index two and general quotients in a space of orderings ⋮ Local-global properties of positive primitive formulas in the theory of spaces of orderings

Cites Work

• Characterization of fans and hereditarily pythagorean fields
• Bounds for the representation of quadratic forms.
• Spaces of orderings and abstract real spectra
• Spaces of orderings: Systems of quadratic forms, local structure, and saturation
• Quadratic form schemes and quaternionic schemes
• Spaces of Orderings IV
• Quadratic forms over fields with finitely many orderings
• Special groups: Boolean-theoretic methods in the theory of quadratic forms
• Open questions in the theory of spaces of orderings
• Elementary properties of the Boolean hull and reduced quotient functors
• Direct limits of finite spaces of orderings
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