Reduced Stability of the Witt Ring of a Field and its Pythagorean Closure

DOI10.2307/2374279zbMath0573.10015OpenAlexW1966233794WikidataQ114042753 ScholiaQ114042753MaRDI QIDQ3691815

Richard Elman, Alexander Prestel

Publication date: 1984

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374279

zbMATH Keywords

isotropyformally real fieldSAP-fieldsu-invariantreduced theory of quadratic formsreduced stability indexfield property ED

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) General binary quadratic forms (11E16)

Related Items (11)

Real fields, valuations, and quadratic forms ⋮ Hereditarily quadratically closed fields ⋮ The length and other invariants of a real field ⋮ Weakly isotropic quadratic forms under field extensions ⋮ Quadratische Räume unendlicher Dimension und partielle Isomorphismen ⋮ The Elman-Lam-Krüskemper theorem ⋮ Quadratic Forms ⋮ Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field ⋮ Graded Witt rings of elementary type ⋮ The Graded Witt Ring and Galois Cohomology. II ⋮ Pythagoras numbers of fields

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