Structure of Witt rings, quotients of abelian group rings and orderings of fields

DOI10.1090/S0002-9904-1971-12683-6zbMath0213.05001MaRDI QIDQ5614725

Roger Ware, Manfred Knebusch, A.F.T.W.Rosenberg

Publication date: 1971

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

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Ordered fields (12J15)

Related Items

Witt rings of quadratically presentable fields, Elementary geometric local-global principles for fields, Quadratic Forms of Height Two, On some Hasse principles over formally real fields, Pfister forms and their applications, Sums of values represented by a quadratic form, Quadratische Räume unendlicher Dimension und partielle Isomorphismen, Witt kernels of function field extensions, The weak local global principle in algebraic k-theory, Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields, Group rings, Primideale im graduierten Wittring und im mod 2-Cohomologiering, Signatures on semilocal rings, On the theory of quadratic forms over formally real fields, Superpythagorean fields, On SAP fields, Function fields of Pfister forms, On the description of the reduced Witt ring, Round forms over semilocal rings, The Boolean Space of Orderings of a Field, Über das Verhalten der Witt-Gruppe bei galoischen Körpererweiterungen, Integral rings of groups of period two and generalizations of Witt rings, Signatures on semilocal rings, Primary ideals in Witt rings, Local-global principles for Witt rings, Stability in Witt Rings

Cites Work

• Quadratic forms and Galois cohomology
• Verallgemeinerung eines Satzes von Herrn F. Specker
• Zur Pfisterschen Theorie der quadratischen Formen
• Induction theorems and the structure of the Witt group
• The prime ideals of Witt rings
• Quadratic forms over arbitrary fields
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