| 内射强覆盖与拟Frobenius环 |
| |
| 引用本文： | 刘仲奎. 内射强覆盖与拟Frobenius环[J]. 西北师范大学学报(自然科学版), 1994, 30(1): 1-4 |
| |
| 作者姓名： | 刘仲奎 |
| |
| 作者单位： | 西北师范大学数学系 |
| |
| 摘 要： | 证明了如下结果：环Ｒ是拟Ｆｒｏｂｅｎｉｕｓ环，当且仅当存在一个基数Ｃ使得任意投射左Ｒ－模是一个内射左Ｒ－模和Ｃ－限制的ＥＳ－模的直和，也当且仅当存在一个基数Ｃ使得每一个左Ｒ－模都可写成一个具有内射强覆盖的左Ｒ－模和一个Ｃ－限制的ＥＳ－模的直和．
|
| 关 键 词： | 内射强覆盖 傅罗泊尼乌斯 环 |
Injective Strong Cover and Quasi-Frobenius Rings |
| |
| Liu Zhongkui. Injective Strong Cover and Quasi-Frobenius Rings[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1994, 30(1): 1-4 |
| |
| Authors: | Liu Zhongkui |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | The following results are established in this paper:A ring R is quasi-Frobenius if and only ifthere exists a cardinal c such that every projective left Rmodule is the direct sum of an injective left R-module and a c-limited ES-module, and if and only if there exists a cardinal c such that every left R-module is the direct sum of a left Rmodule with injective strong cover and a C-limited ES-module. |
| |
| Keywords: | uasi-Frobenius rings injective strong cover C-limited ES-modules |
| 本文献已被 CNKI 维普 等数据库收录！ |
