Power series rings over strong Mori domains

被引：14
|
作者：
Park, MH [1 ]
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
来源：
JOURNAL OF ALGEBRA | 2003年 / 270卷 / 01期
关键词：
D O I：
10.1016/j.jalgebra.2003.07.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that: (1) if R is a Noetherian domain, then R[{X-lambda}(lambdais an element ofLambda)](1) is a strong Mori domain; (2) if R is a strong Mori domain, then R[{X-lambda}(lambdais an element ofLambda)](1) is a Mori domain; but (3) there exists a strong Mori domain R such that R[X] is not a strong Mori domain. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：361 / 368
页数：8
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