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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Harrison's Witt ring of a generalized valuation ring


Author: Chan Nan Chang
Journal: Proc. Amer. Math. Soc. 47 (1975), 15-21
MSC: Primary 13K05; Secondary 10C05
MathSciNet review: 0352086
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Abstract: The purpose of this paper is to determine the relations between $ H(R)$ (Harrison's Witt ring given by generators and relations over a generalized valuation ring $ R$) and $ W(K)$ (classical Witt ring of inner product spaces over the field $ K$). Using the main results, we are able to establish some theorems on the structure of $ H(R)$ analogous to the field case.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0352086-6
PII: S 0002-9939(1975)0352086-6
Keywords: Valuation ring, Witt ring, Harrison's Witt ring, $ H$-map, unimodular element, Jordan decomposition
Article copyright: © Copyright 1975 American Mathematical Society