Chain signatures and higher level Witt rings

DOI10.1016/0021-8693(87)90037-8zbMath0632.12022OpenAlexW1982744154MaRDI QIDQ1095194

Niels Schwartz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90037-8

zbMATH Keywords

formally real fieldschain signatureschains of higher level orderingshigher level Witt rings

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Witt groups of rings (19G12)

Cites Work

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• Reduced forms and reduced Witt rings of higher level
• The behavior of chains of orderings under field extensions and places
• Real closures of fields at orderings of higher level
• Fans, real valuations, and hereditarily-Pythagorean fields
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• Chain signatures and real closures.
• Quotients and Inverse Limits of Spaces of Orderings
• The Witt Ring of a Space of Ordering
• Partial orders on a field and valuation rings
• Spaces of Orderings IV
• The model theory of generalized real closed fields.
• Signatures and Semi Signatures of Abstract Witt Rings and Witt Rings of Semilocal Rings
• Summen n-ter Potenzen in Körpern.
• Classification of Finite Spaces of Orderings
• On a real places of a field and their holomorphy ring
• Structure of Witt Rings and Quotients of Abelian Group Rings

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