| 正则模和V一模 |
| |
| 作者单位： | Anhui Normal University，Wuhu |
| |
| 摘 要： | Ｋａｐｌａｎｓｋｙ证明了可换环Ｒ是正则的当且仅当每个单Ｒ一模是内射的，这个结果推广到比较一般的环中可以证明，ｄｕｏ环Ｒ是正则的当且仅当每个单Ｒ－模是内射的。本文将此结果进一步推广到模中。
|
| 关 键 词： | VonNeumann正则环，duo环，正则模，V－模 |
Regular modules and V-modules |
| |
| Authors: | Zhang Yuanping |
| |
| Abstract: | The result due to kaplansky that a commutative ring R is(Von Neumann)regular if and only if every simple R-module is injective can be extended to duo rings,Aduo ring is regular if and only if every simple R-module is injective.In this paper,we extend this result to modules. |
| |
| Keywords: | Von Neumann)regular ring duo ring regular module V-module |
| 本文献已被 CNKI 等数据库收录！ |
