Pythagorean \(*\)-fields
DOI10.1006/jabr.1999.8149zbMath0983.12001OpenAlexW4210515387MaRDI QIDQ1972047
Tara L. Smith, Thomas C. Craven
Publication date: 13 August 2000
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1999.8149
signatureHermitian formsvaluationWitt groupsspace of orderingsBaer orderingsformally real \(S\)-fieldformally real strongly Pythagorean \(*\)-fieldsstrongly Pythagorean division ringstotal semisignature mappingsweakly isotopic forms
Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Bilinear and Hermitian forms (11E39) Skew fields, division rings (12E15) Ordered fields (12J15)
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