西北师范大学学报（自然科学版）2018，Vol.54Issue(2)：1-5,5.DOI:10.16783/j.cnki.nwnuz.2018.02.001
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
摘要
Abstract
The cohomological dimensions for left R-module Mrelative to coresolving modules class Xand projective generators class Ware introduced.Some equivalent characterizations of finiteness X-coresolution dimensions to left R-module Mare 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Key words
coresolve modules class/cohomological dimension/X-coresolution dimension/W-coresolution dimension分类
数理科学引用本文复制引用
张翠萍,王鹏飞..具有有限X-余分解维数的模的上同调性质[J].西北师范大学学报（自然科学版）,2018,54(2):1-5,5.基金项目
国家自然科学基金资助项目(11361051) （11361051）
