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Signatures and Semi Signatures of Abstract Witt Rings and Witt Rings of Semilocal Rings

Published online by Cambridge University Press:  20 November 2018

Jerrold L. Kleinstein  and
Alex Rosenberg
Jerrold L. Kleinstein
Affiliation:
SUNY at Stony Brook, Stony Brook, New York;
Alex Rosenberg
Affiliation:
SUNY at Stony Brook, Stony Brook, New York;
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 4 , 01 August 1978 , pp. 872 - 895
Copyright
Copyright © Canadian Mathematical Society 1978

References

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