Polynomials Annihilating the Witt Ring | Zendy

Ongenae Veerle | Zendy; Van Geel Jan | Zendy

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Polynomials Annihilating the Witt Ring

Author(s) -

Ongenae Veerle,

Van Geel Jan

Publication year - 1997

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.3211850113

Subject(s) - mathematics , annihilator , ring (chemistry) , witt vector , torsion (gastropod) , pure mathematics , ideal (ethics) , algebra over a field , discrete mathematics , law , medicine , chemistry , surgery , organic chemistry , political science

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 idealare 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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