Parimala, Raman (1983) Quadratic spaces over Laurent extensions of Dedekind domains Transactions of the American Mathematical Society, 277 (2). pp. 569-578. ISSN 0002-9947
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Official URL: http://www.ams.org/journals/tran/1983-277-02/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9947-1983-0694376-2
Abstract
Let R be a Dedekind domain in which 2 is invertible. We show in this paper that any isotropic quadratic space over R[T, T-1] is isometric to q1⊥ Tq2 where q1, q2 are quadratic spaces over . We give an example to show that this result does not hold for anisotropic spaces.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Quadratic Spaces; Isotropy; Laurent-extensions; Dedekind Domains |
| ID Code: | 34545 |
| Deposited On: | 22 Apr 2011 14:26 |
| Last Modified: | 17 May 2016 17:26 |
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