Spaces of orderings: Systems of quadratic forms, local structure, and saturation

DOI10.1080/00927878408823025zbMath0533.10018OpenAlexW2016919035MaRDI QIDQ3315583

Murray A. Marshall

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823025

zbMATH Keywords

saturationlocal structurespaces of orderingssystem of quadratic formslocal stability indexlocal-global result

Mathematics Subject Classification ID

Ordered fields (12J15) Forms over real fields (11E10)

Related Items (10)

Open questions in the theory of spaces of orderings ⋮ On the separation of basic semialgebraic sets by polynomials ⋮ The real spectrum of a noncommutative ring ⋮ Witt rings of weakly orderable double loops and nearfields ⋮ Orderings and real places on commutative rings ⋮ Lattice-ordered reduced special groups ⋮ 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 ⋮ The holomorphy rings of planar ternary rings with rational prime field ⋮ Spaces of orderings of fields under finite extensions

Cites Work

• The reduced theory of quadratic forms
• On the description of the reduced Witt ring
• Quotients and Inverse Limits of Spaces of Orderings
• Spaces of Orderings IV
• Local Stability and Saturation in Spaces of Orderings
• Classification of Finite Spaces of Orderings

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