Small extensions of Witt rings

被引：1
|
作者：
Fitzgerald, RW [1 ]
机构：
[1] So Illinois Univ, Carbondale, IL 62901 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 1999年 / 189卷 / 01期
关键词：
D O I：
10.2140/pjm.1999.189.31
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider certain Witt ring extensions S of a noetherian Witt ring R obtained by adding one new generator. The conditions on the new generator are those known to hold when R is the Witt ring of a field F, S is the Witt ring of a field K and K/F is an odd degree extension. We show that if R is of elementary type then so is S.
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页码：31 / 53
页数：23
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