n-X-余挠模与n-X-余挠维数

n-X-cotorsion modules and n-X-cotorsion dimension

在余挠模的基础上引入了n-X-余挠模的定义,对n-X-余挠模作了等价刻画.并且引入了模与环上的n-X-余挠维数,讨论了n-X-余挠维数与其它同调维数之间的关系,推广了一些已有的结论.

The concept of n-X- cotorsion modules is introduced on the basis of cotorsion modules. Some equivalent characterizations of n-X- cotorsion modules are given, n-X- cotorsion dimension of modules and rings, and discussing the connections among n-X- eotorsion dimension and other dimensions, then some existing results are promoted.