Author:
Kleinstein Jerrold L.,Rosenberg Alex
Abstract
This paper originated in an attempt to carry over the results of [3] from the case of a field of characteristic different from two to that of semilocal rings. To carry this out, we reverse the point of view of [3] and do assume a full knowledge of the theory of Witt rings of classes of nondegenerate symmetric bilinear forms over semilocal rings as given, for example, in [10; 11]. It turns out that the rings WT of [3] are just the residue class rings of W(C), the Witt ring of a semilocal ring C, modulo certain intersections of prime ideals.
Publisher
Canadian Mathematical Society
Cited by
12 articles.
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1. Witt rings and matroids;Proceedings of the American Mathematical Society;2012-10-11
2. A class of finite commutative rings constructed from Witt rings;Bulletin of the Australian Mathematical Society;2006-02
3. Abstract theory of semiorderings;Bulletin of the Australian Mathematical Society;2005-10
4. Hermitian Forms over Ordered ∗ -Fields;Journal of Algebra;1999-06
5. Witt groups of hermitian forms over ∗-fields;Journal of Algebra;1992-04