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Polynomials Annihilating the Witt Ring

✍ Scribed by Veerle Ongenae; Jan Van Geel

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 557 KB
Volume: 185
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.3211850113

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✦ Synopsis

Abstract

Let 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 A~t~(F) = {f(X) ∈ Z[X]| f(ω) = 0 for all ω ∈ W~t~(F)}, where W~t~(F) is the torsion part of the Witt group, is obtained.

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