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.

引用

页码：665 / 680

页数：16

共 15 条

[1] MINIMAL PAIRS OF DEFINITION OF A RESIDUAL TRANSCENDENTAL EXTENSION OF A VALUATION [J].