具有有限X-余分解维数的模的上同调性质  

Cohomology of finiteness X-coresolution dimensions of module

作　　者：张翠萍 王鹏飞 ZHANG Cui-ping;WANG Peng-fei(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,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：《西北师范大学学报（自然科学版）》2018年第2期1-5,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11361051)

摘　　要：引入了左R-模M关于余可解模类X以及投射生成子W的上同调维数,给出了M的X-余分解维数有限的几种等价刻画,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-余分解维数的模的稳定性以及相对于模类X的模的稳定性.The cohomological dimensions for left R-module M relative to coresolving modules class X and projective generators class W are introduced.Some equivalent characterizations of finiteness X-coresolution dimensions to left R-module M are presented,and the relation between X-coresolution dimension and W-coresolution dimension is also discussed.What s more,the stability of modules with respect to finiteness X-coresolution dimensions and the stability of modules with respect to finiteness W-coresolution dimensions are investigated.

关 键 词：余可解模类 上同调维数 X-余分解维数 W-余分解维数 

分 类 号：O153.3[理学—数学]