|
|||||
|
|
| 相对FP-内射模 | |
| 引用本文： | 宋杨,胡珍,董智.相对FP-内射模[J].宿州学院学报,2012,27(8):10-13. |
| 作者姓名： | 宋杨 胡珍 董智 |
| 作者单位： | 1. 宿州学院数学与统计学院,安徽宿州,234000 2. 宿州市第二中学,安徽宿州,234000 3. 程集中学,安徽宿松,246501 |
| 基金项目： | 宿州学院一般科研项目"Gorenstein代数的同调性质" |
| 摘 要： | 给出了n-FP-内射模的定义,讨论了该模类的左维数、(预)覆盖等问题,并主要证明了该模类在左凝聚环的条件下的一些等价关系,如l.FPn-dim(R)≤n等价于对每个0-FP-内射左R-模有id(M)≥n,等价于对每个n-FP-内射左R-模有fpd(M)≤n等;最后给出了n-FP-内射模的维数的定义和性质,并讨论了该模类在左凝聚环的条件下的一些等价关系,如FPn-inj.dim(M)≤n时等价于在有限表示模N∈FPn下,有Extn+1(N,M)=0等。 |
| 关 键 词： | 余挠理论 FP-投射维数 n-FP-内射模 (预)覆盖 |
Relative FP-injective Module |
|
| SONG yang , HU zhen , DONG Zhi.Relative FP-injective Module[J].Journal of Shuzhou College,2012,27(8):10-13. | |
| Authors: | SONG yang HU zhen DONG Zhi |
| Institution: | 1. School of Mathematics and Statistics,Suzhou University,Suzhou Anhui, 234000; 2. Secondary School of Suzhou ,Suzhou Anhui, 234000 ; 3. School of Chengji,Susong Anhui, 246501 ,China) |
| Abstract: | Abstract： This paper gave the definition of the n-FP-injective module,discussed the left dimension and （pre） cover of this module. It mainly proved some equivalent relation of the category on the left coherent rings. For ex-ample,l. FP-dim（R）≤n and id（M）≤n of every O-FP-injeetive left R-module are equivalent,and it equivalent to fpd（M）≤n. Finally ,it showed the definition of n-FP-injective module and property of its dimension,and also discussed its equivalent relation on the left coherent rings. For instance,finite represent module N∈ FP.,in the case,Extn^＋1（N,M）=0 is equivalent to FPn-inj. dim（M）≤n. |
| Keywords: | Cotorsion theory FP-projective dimension n-FP-injeetive modules （pre）cover |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |