Symbol length and stability index

DOI10.1016/j.jalgebra.2011.12.027zbMath1260.11025OpenAlexW2072074453MaRDI QIDQ448395

Karim Johannes Becher, Paweł Gładki

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.12.027

zbMATH Keywords

quadratic formstability indexMilnor \(K\)-theoryreduced Witt ringsymbol lengthabstract Witt ringPythagorean field

Mathematics Subject Classification ID

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) Forms over real fields (11E10)

Related Items (1)

Fields with bounded Brauer 2-torsion index

Cites Work

• An exact sequence for \(K^M_*/2\) with applications to quadratic forms
• Indecomposable algebras of prime exponent.
• Characterization of fans and hereditarily pythagorean fields
• Reduzierte quadratische Formen und Semiordnungen reeller Körper
• Symbol lengths in Milnor \(K\)-theory
• On the theory of quadratic forms over formally real fields
• Going up of the \(u\)-invariant over formally real fields
• Decomposability for division algebras of exponent two and associated forms
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Quelques remarques sur le $u$-invariant
• Un critère pour reconnaître les fonctions algébriquement constructibles
• Comparison of some field invariants
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