Quadratic forms, rigid elements, and formal power series fields

DOI10.1016/0021-8693(80)90114-3zbMath0455.10012OpenAlexW2011685642MaRDI QIDQ1149980

Lawrence Berman, Roger Ware, Craig M. Cordes

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90114-3

zbMATH Keywords

basic elementsisomorphic Witt ring

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) General field theory (12E99)

Related Items (9)

Characteristic 4 Witt rings that are the product of group rings ⋮ Witt groups and the elementary type conjecture ⋮ Quadratic Forms, Rigid Elements and Nonreal Preorders ⋮ An abstract approach to higher level forms and rigidity ⋮ Totally real rigid elements and F_π-henselian valuation rings ⋮ Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology ⋮ Graded Witt rings of elementary type ⋮ Quadratic forms and pro-2-groups. III. Rigid elements and semidirect products ⋮ Structure of the basic part of a field

Cites Work

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• Quadratic forms over nonformally real fields with a finite number of quaternion algebras
• When are Witt rings group rings? II
• The Witt group and the equivalence of fields with respect to quadratic forms
• Quadratic forms and the u-invariant. I
• Kaplanaky's radical and quadratic forms over non-real fields
• Fröhlich's local quadratic forms.
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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