ON QUADRATIC FORMS OVER SEMILOCAL RINGS

被引：3

作者：

Gille, Stefan ^{[1
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Quadratic forms; (semi-)local rings; Witt groups; THEOREM;

D O I：

10.1090/tran/7270

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a recent result of Panin and Pimenov we show that several results, as for instance the linkage principle, in the algebraic theory of quadratic forms over fields also hold for quadratic forms over regular semilocal domains which contain a field of characteristic not 2. As an application we prove that the Arason and Elman presentation of the powers of the fundamental ideal of the Witt ring of a field extends to semilocal rings which contain an infinite field of characteristic not 2.

引用

页码：1063 / 1082

页数：20

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