A simple system of axioms for spaces of signatures

DOI10.1016/0022-4049(89)90112-6zbMath0668.10027OpenAlexW2113381640WikidataQ114685096 ScholiaQ114685096MaRDI QIDQ1117969

Murray A. Marshall

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90112-6

zbMATH Keywords

character groupspace of orderingsspaces of signaturesformally real division ringformally real skew-fieldsnew system of axiomspreorderings of division ringspreorderings of higher level

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Skew fields, division rings (12E15) Forms over real fields (11E10)

Related Items (5)

The real spectrum of a noncommutative ring ⋮ Spaces of orderings and Witt rings of planar ternary rings ⋮ Witt rings of weakly orderable double loops and nearfields ⋮ The Witt ring of a space of signatures ⋮ Higher level form schemes

Cites Work

• Unnamed Item
• The Witt ring of a space of signatures
• Reduced forms and reduced Witt rings of higher level
• The representation theorem for spaces of signatures
• Characterizing reduced Witt rings of higher level
• Linked quaternionic mappings and their associated Witt rings
• Witt rings and orderings of skew fields
• Quadratic form schemes with non-trivial radical
• An abstract approach to higher level forms and rigidity
• Quadratic form schemes and quaternionic schemes
• The Witt Ring of a Space of Ordering
• Structure of Witt Rings and Quotients of Abelian Group Rings
• On Ordered Skew Fields

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