Polynomials Annihilating the Witt Ring

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997 Belgium English Publisher:WileyJournal:Mathematische Nachrichten, volume 185, pages 213-226 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Ongenae, Veerle; van Geel, Jan;

doi: 10.1002/mana.3211850113

handle: 10067/201770151162165141

Polynomials Annihilating the Witt Ring

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Abstract

AbstractLet F be a non‐formally real field of characteristic not 2 and let W(F) be the Witt ring of F. In certain cases generators for the annihilator ideal equation image are determined. Aim the primary decomposition of A(F) is given. For formally d fields F, as an analogue the primary decomposition of At(F) = {f(X) ∈ Z[X]| f(ω) = 0 for all ω ∈ Wt(F)}, where Wt(F) is the torsion part of the Witt group, is obtained.

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Belgium

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Keywords

annihilators of quadratic forms, Witt ring, Algebraic theory of quadratic forms; Witt groups and rings, Quadratic forms over general fields

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