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Annihilating Polynomials and Positive Forms

Published online by Cambridge University Press:  20 November 2018

D. W. Lewis
D. W. Lewis*
Affiliation:
Department of Mathematics University College Dublin Belfield Dublin 4, Ireland
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Abstract

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The annihilating polynomials for trace forms, as discovered recently by Conner, are shown to also annihilate many other classes of positive quadratic forms over a field F provided that F satisfies suitable conditions.

Keywords

(1985 Revision) 11E0412E10.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 103 - 107
Copyright
Copyright © Canadian Mathematical Society 1992

References

1. Conner, P. E., A proof of the conjecture concerning algebraic Witt classes, Preprint (1987).Google Scholar
2. Hurrelbrink, Jurgen, Annihilating polynomials for group rings and Witt rings, Canad. Math. Bull. 32(4), (1989), 412–416.Google Scholar
3. Kruskemper, Martin and Scharlau, Winfried, On positive quadratic forms, Bull. Soc. Math. Belg. 40, fasc. 2-ser. A, (1988), 255–280.Google Scholar
4. Lam, T. Y., Algebraic theory of quadratic forms, Benjamin, Reading Mass., (1973).Google Scholar
5. Lewis, D. W., Witt rings as integral rings, Invent. Math. 90(1987),631–633.Google Scholar
6 Lewis, D. W., Sums of squares in Witt rings, J. Pure and Appl. Alg., 69(1990),67–72..Google Scholar
7. Scharlau, W., Quadratic and hermitian forms, Springer-Verlag, Berlin-Heidelberg-Tokyo-New York (1985).Google Scholar