| n-FI-内射模和n-FI-平坦模的若干性质 |
| |
| 引用本文： | 武斌,岳文琴.n-FI-内射模和n-FI-平坦模的若干性质[J].长春师范学院学报,2011(12):1-3. |
| |
| 作者姓名： | 武斌 岳文琴 |
| |
| 作者单位： | 兰州资源环境职业技术学院基础部 |
| |
| 摘 要： | 本文讨论了n-FI-内射模和n-FI-平坦模之间的关系以及它们的若干性质.证明了(Fn,(Fn)⊥)是完备的余挠理论,并给出(Fn,(Fn)⊥)是遗传的余挠理论的充要条件,其中Fn表示n-FI-平坦右R-模类.
|
| 关 键 词： | FP-内射维数 完全余挠理论 n-FI-内射模 n-FI-平坦模 |
On Some Properties of n-FI-injective Modules and n-FI-flat Modules |
| |
| WU Bin,YUE Wen-qin.On Some Properties of n-FI-injective Modules and n-FI-flat Modules[J].Journal of Changchun Teachers College,2011(12):1-3. |
| |
| Authors: | WU Bin YUE Wen-qin |
| |
| Institution: | (Basis Department of Lanzhou Resources & Environment Voc-Tech College,Lanzhou 730070,China) |
| |
| Abstract: | In this article,we discuss some properties of n-FIinjective Modules and n-FI-flat modules as well as the relation between them,and prove that(F n,(F n)⊥) is a complete contorsion theory.Then we give out necessary and sufficient conditions which make the(Fn,(Fn)⊥) be the genetic cotorsion theory,where Fn denotes the class of all n-FI-flat right R-modules. |
| |
| Keywords: | FP-injective dimension complete cotorsion theory n-FI-ijnective modules n-FI-flat modules |
| 本文献已被 CNKI 等数据库收录！ |
|
