| 关于Gorenstein FP-内射模 |
| |
| 引用本文： | 曾月迪,陈建龙.关于Gorenstein FP-内射模[J].东南大学学报,2011,27(1):115-118. |
| |
| 作者姓名： | 曾月迪 陈建龙 |
| |
| 作者单位： | 东南大学数学系,南京,211189 |
| |
| 基金项目： | The National Natural Science Foundation of China (No.10971024); Specialized Research Fund for the Doctoral Program of Higher Education (No. 200802860024) |
| |
| 摘 要： | R-模M称为是Gorenstein FP-内射的,如果存在一个FP-内射R-模正合列…→E1→E0→E0→E1→…,其中M=ker(E0→E1),使得对任意FP-内射模E,Hom(E,-)保持正合列正合.根据定义讨论了Gorenstein FP-内射模的性质,并且证明了若环R是左Noetherian环当且仅当每个Gor...
|
| 关 键 词： | 凝聚环 Gorenstein FP-内射维数 Gorenstein FP-内射预覆盖 Gorenstein FP-内射预包络 |
On Gorenstein FP-injective modules |
| |
| Zeng Yuedi Chen Jianlong.On Gorenstein FP-injective modules[J].Journal of Southeast University(English Edition),2011,27(1):115-118. |
| |
| Authors: | Zeng Yuedi Chen Jianlong |
| |
| Institution: | Zeng Yuedi Chen Jianlong(Department of Mathematics,Southeast University,Nanjing 211189,China) |
| |
| Abstract: | An R-module M is called Gorenstein FP-injective if there is an exact sequence …→E1→E0→E0→E1→… of FP-injective R-modules with M=ker(E0→E1) and such that Hom(E,-) leaves the sequence exact whenever E is an FP-injective R-module.Some properties of Gorenstein FP-injective are obtained.Moreover,it is proved that a ring is left Noetherian if and only if every Gorenstein FP-injective left R-module is Gorenstein injective.Furthermore,it is shown that over an n-FC and perfect ring R,a left R-module M is Gorenstein FP-injective if and only if MFH for some FP-injective left R-module F and some strongly Gorenstein FP-injective R-module H.In view of this,Gorenstein FP-injective precovers and Gorenstein FP-injective preenvelopes are considered. |
| |
| Keywords: | coherent ring Gorenstein FP-injective dimension Gorenstein FP-injective precover Gorenstein FP-injective preenvelope |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
