Valuation rings in ore extensions

被引：11
|
作者：
Brungs, HH [1 ]
Schröder, M
机构：
[1] Univ Alberta, Edmonton, AB T6G 2G1, Canada
[2] Univ Duisburg Gesamthsch, D-47048 Duisburg, Germany
来源：
JOURNAL OF ALGEBRA | 2001年 / 235卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1006/jabr.2000.8484
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Extensions of valuation rings V of a skew field K are considered in the skew field F = K(x, sigma) for sigma a monomorphism of K. At least two such extensions exist if a is an automorphism, but no extension may exist if a is a monomorphism only. There exist extensions R-(a) of V in F with xR((a)) = aR((a)) for every non-zero a in K if and only if V is invariant and a is compatible with V. (C) 2001 Academic Press.
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页码：665 / 680
页数：16
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