Harrison’s Witt ring of a generalized valuation ring

Chang, Chan Nan

doi:10.1090/S0002-9939-1975-0352086-6

Harrison’s Witt ring of a generalized valuation ring
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Proc. Amer. Math. Soc. 47 (1975), 15-21 Request permission

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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