THE STRUCTURE OF FINITE LOCAL PRINCIPAL IDEAL RINGS

被引：9
|
作者：
Wu, Tongsuo [1 ]
Yu, Houyi [1 ]
Lu, Dancheng [2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 12期
关键词：
Finite local ring; Ideal structure; Polynomial rings; Ring extension;
D O I：
10.1080/00927872.2011.618860
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A ring R is called a principal ideal ring (PIR), if each ideal of R is a principal ideal. A local ring (R, m) is an artinian PIR if and only if its maximal ideal m is principal and has finite nilpotency index. In this article, we determine the structure of a finite local PIR.
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页码：4727 / 4738
页数：12
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