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Proceedings of the American Mathematical Society

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

 

 

A localisation principle for quadratic spaces over Laurent extensions


Authors: Raman Parimala and Parvin Sinclair
Journal: Proc. Amer. Math. Soc. 89 (1983), 202-204
MSC: Primary 11E88; Secondary 13C05
DOI: https://doi.org/10.1090/S0002-9939-1983-0712622-9
MathSciNet review: 712622
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Abstract: We prove here that the localisation principle holds for anisotropic quadratic spaces over $ R[T,{T^{ - 1}}]$, where $ R$ is an integral domain in which 2 is invertible. We also give an example of an isotropic quadratic space over $ R[T,{T^{ - 1}}]$ for which the localisation principle does not hold.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0712622-9
Keywords: Laurent extensions, anisotropic, quadratic spaces, localisation principle
Article copyright: © Copyright 1983 American Mathematical Society