Reduzierte quadratische Formen und Semiordnungen reeller Körper
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Publication:1241541
DOI10.1007/BF02993018zbMath0365.12011OpenAlexW1988772746MaRDI QIDQ1241541
Eberhard Köpping, Eberhard Becker
Publication date: 1977
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02993018
Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)
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Cites Work
- Unnamed Item
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- When are Witt rings group rings?
- Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics
- On some Hasse principles over formally real fields
- Signatures on semilocal rings
- On the theory of quadratic forms over formally real fields
- Quadratische Semi-Ordnungen und quadratische Formen
- Trägheitsstrukturen quadratischer Formen
- Zur Galoistheorie pythagoreischer Körper
- Quadratische Formen über Körpern
- Proof of Krull's intersection theorem for the Witt ring
- Eine Bemerkung zu den Wittringen endlicher Galoisscher Körpererweiterungen
- Round forms over semilocal rings
- Pfister forms and \(K\)-theory of fields
- Über eine Klasse pythagoreischer Körper
- Round and group quadratic forms over global fields
- Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
- Euklidische Körper und euklidische Hüllen von Körpern.
- Structure of Witt Rings and Quotients of Abelian Group Rings
- Quadratic Forms Over Formally Real Fields and Pythagorean Fields
- Quadratic forms over arbitrary fields