On regularity of rings

被引：0
|
作者：
Chen, JL [1 ]
Ding, NQ
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Southeast Univ, Dept Appl Math, Nanjing 210096, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2001年 / 8卷 / 03期
关键词：
von Neumann regular ring; P-injective module; GP-injective module;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that a ring R is (von Neumann) regular if and only if every cyclic left R-module is GP-injective, if and only if R is left PP and left GP-injective. In addition, two examples are given to answer two open questions in the negative.
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页码：267 / 274
页数：8
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