论文标题
稳定的球形模块和扭转模块类别
Stable categories of spherical modules and torsionfree modules
论文作者
论文摘要
Auslander和Bridger引入了N-Spherical模块和N-Torsionfree模块的概念。在本文中，我们在稳定类别的N-球体模块类别与至少N级模块的类别之间构建了等效性，并提供了其Gorenstein类似物。作为应用程序，我们证明，如果r是krull尺寸d> 0的戈伦斯坦局部环，则存在（D-1） - torsionfree R-modules类别与与局部共生学函数的D-Spherical模块类别之间的稳定等效性。
Auslander and Bridger introduced the notions of n-spherical modules and n-torsionfree modules. In this paper, we construct an equivalence between the stable category of n-spherical modules and the category of modules of grade at least n, and provide its Gorenstein analogue. As an application, we prove that if R is a Gorenstein local ring of Krull dimension d>0, then there exists a stable equivalence between the category of (d-1)-torsionfree R-modules and the category of d-spherical modules relative to the local cohomology functor.
