The map of the Witt ring of a domain into the Witt ring of its field of fractions-Reference-Cited by-同舟云学术

The map of the Witt ring of a domain into the Witt ring of its field of fractions

Published:1975 Issue:1 Volume:51 Page:25-30
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Craven Thomas C.,Rosenberg Alex,Ware Roger

Abstract

Let R R be an integral domain with field of fractions K K . This paper studies the kernel of the map W ( R ) → W ( K ) W(R) \to W(K) , where W W is the Witt ring functor. In case R R is regular and noetherian, it is shown that the kernel is a nilideal. The kernel is zero if R R is a complete regular local noetherian ring with 2 a unit. Examples are given to show that the regularity assumptions are needed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-051-01/S0002-9939-1975-0384789-1/S0002-9939-1975-0384789-1.pdf

Reference12 articles.

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2. T. C. Craven, Witt rings and orderings of fields, Ph. D. Thesis, Cornell University, Ithaca, N. Y., 1973.

3. Périodicité de la 𝐾-théorie hermitienne;Karoubi, Max,1973

4. Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen;Knebusch, Manfred;S.-B. Heidelberger Akad. Wiss. Math.-Natur. Kl.,1969

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