Automorphisms of pythagorean fields and their witt rings

DOI10.1080/00927878908823768zbMath0682.12018OpenAlexW1989508116MaRDI QIDQ4731271

Roger Ware

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823768

zbMATH Keywords

Witt ringfixed fieldsSAP fieldsautomorphisms of pythagorean fieldsstrictly pythagorean fields

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) General binary quadratic forms (11E16)

Related Items (1)

Automorphisms of Witt rings of local type

Cites Work

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• Lectures on formally real fields
• Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field
• D-automorphisms of power series rings and the continuous radical of D
• Quadratic forms and profinite 2-groups
• On some Hasse principles over formally real fields
• Zur Galoistheorie pythagoreischer Körper
• Quadratic forms and pro-2-groups. III. Rigid elements and semidirect products
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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