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Induction theorems and the structure of the Witt group

✍ Scribed by Winfried Scharlau


Publisher
Springer-Verlag
Year
1970
Tongue
English
Weight
335 KB
Volume
11
Category
Article
ISSN
0020-9910

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## Abstract Let __R__ be a Gorenstein ring of finite Krull dimension and __t__ ∈ __R__ a regular element. We show that if the quotient map __R__ β†’ __R/Rt__ has a flat splitting then the transfer morphism of coherent Witt groups Tr~(__R/Rt__)/__R__~ : $ \widetilde W^{i} $(__R/Rt__) β†’ $ \widetilde W^