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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Nonextended quadratic forms over polynomial rings over power series rings


Author: Raman Parimala
Journal: Proc. Amer. Math. Soc. 83 (1981), 453-454
MSC: Primary 15A63; Secondary 18F25
DOI: https://doi.org/10.1090/S0002-9939-1981-0627667-5
MathSciNet review: 627667
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Abstract: If $ R$ is a complete discrete valuation ring, then every quadratic space over $ R[T]$ is extended from $ R$. We here show by an example that a corresponding result for higher-dimensional complete regular local rings is not valid.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0627667-5
Keywords: Projective modules, quadratic spaces, extendibility
Article copyright: © Copyright 1981 American Mathematical Society