Decomposition Theory of Perfect Modules

被引：0
|
作者：
Wu, Zhixiang [1 ]
Shum, K. P. [2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2009年 / 16卷 / 01期
关键词：
decomposition of modules; perfect modules; semi-artinian rings; semisimple modules;
D O I：
10.1142/S1005386709000066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The decomposition theory of perfect modules is developed and consequently the decomposition of comodules is extended to perfect modules over an arbitrary ring. In addition, a decomposition theorem of finitely generated torsion modules over PID is established and the theory of Dickson on the primary decomposition of modules becomes a special case of our result.
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页码：49 / 64
页数：16
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