Semiorderings and Witt rings

DOI10.1017/S0004972700033797zbMath1023.12001OpenAlexW1975894578MaRDI QIDQ4709804

Tara L. Smith, Thomas C. Craven

Publication date: 12 November 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700033797

zbMATH Keywords

Witt ringpreorderingreduced Witt ringsemiorderingorder closed fieldsemireal closed fieldstrongly order closed field

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Cites Work

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• Fields maximal with respect to a set of orderings
• A recursive description of the maximal pro-2 Galois group via Witt rings
• Reduzierte quadratische Formen und Semiordnungen reeller Körper
• Characterizing reduced Witt rings of fields
• On Galois groups over Pythagorean and semi-real closed fields
• Spaces of orderings and abstract real spectra
• Witt rings and Galois groups
• Formally real fields from a Galois theoretic perspective
• On the theory of quadratic forms over formally real fields
• Valuation theory
• The Boolean Space of Orderings of a Field
• Decomposition of Witt Rings and Galois Groups

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