具有有限X-分解维数的模的同调性质  

Homology of finiteness X-resolution dimensions of module

作　　者：王鹏飞[1] 张翠萍[1] Wang Pengfei;Zhang Cuiping(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《纯粹数学与应用数学》2017年第4期406-423,共18页Pure and Applied Mathematics

基　　金：国家自然科学基金(11361051)

摘　　要：引入了左R-模M关于可解模类X以及内射余生成子W的同调维数.给出了M的X-分解维数有限的几种刻画,进而讨论了M的这两种维数之间的关系.研究了相对于有限W-分解维数的模的稳定性以及相对于模类X的模的稳定性.This paper introduces the homological dimensions for left R-module M relative to resolving modules class X and injective cogenerators class.This paper presents some characterizations of_niteness X-resolution dimensions to left R-module M,and the relation between X-resolution dimension and W-resolution dimension is also discussed.What's more,it investigates the stability of modules with respect to_niteness X-resolution dimensions and the stability of modules with respect to_niteness W-resolution dimensions.

关 键 词：可解模类 同调维数 X-分解维数 W-分解维数 

分 类 号：O178[理学—数学]