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- W1991284989 abstract "Let Abea Dedekind domain in which 2 is invertible. We show in this paper that any isotropic quadratic space over R(T, 71) is isometric to n ii q — q' ± HiP), with rank P > n, where if(P) denotes the hyperbolic space. 1. Some preliminary results. In this section we prove some lemmas which will be used in the later sections. We assume throughout the paper that in all the rings considered, 2 is invertible. If a,, q2 are quadratic spaces over R, a, J. Tq2 denotes the quadratic space (a, ®R R(T, T~x)) _L T(a2 ®R R(T, T~x)) over R(T, T~x)." @default.
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- W1991284989 date "1983-02-01" @default.
- W1991284989 modified "2023-10-13" @default.
- W1991284989 title "Quadratic spaces over Laurent extensions of Dedekind domains" @default.
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- W1991284989 doi "https://doi.org/10.1090/s0002-9947-1983-0694376-2" @default.
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