论文标题
从Gorenstein衍生等效到稳定的射仪射击器
From Gorenstein derived equivalences to stable functors of Gorenstein projective modules
论文作者
论文摘要
在论文中,我们主要连接Gorenstein衍生的等效性和Gorenstein射影模块的稳定函子。特别是,我们证明了gorenstein在CM-FINITE代数A和B之间衍生的等效性可以在因子类别A模型/A-GPROJ和B-MOD \ B-GPROJ之间诱导稳定的函子。此外,当A和B为Gorenstein时,上述稳定函数是等效的。
In the paper, we mainly connect the Gorenstein derived equivalence and stable functors of Gorenstein projective modules. Specially, we prove that a Gorenstein derived equivalence between CM-finite algebras A and B can induce a stable functor between the factor categories A-mod/A-Gproj and B-mod\B-Gproj. Furthermore, the above stable functor is an equivalence when A and B are Gorenstein.