具有有限X-分解维数的模的同调性质

Homology of finiteness X-resolution dimensions of module

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.