论文标题
提升回忆和戈伦斯坦射影模块
Lifting of recollements and Gorenstein projective modules
论文作者
论文摘要
在本文中，我们研究了相对于Gorenstein-Prokentive模块的回忆。具体而言，同源环的表达可以引起有限生成的gorenstein-projective模块的稳定类别的回忆。一些上三角基质代数的有界戈伦斯坦衍生类别的回忆可以提升为Gorenstein-Progentive模块的同型类别。作为副产品，我们在上三角矩阵代数t_ {n}（a）上给出了足够且必要的条件，对于有限的CM型代数a的代数A具有有限的CM型。
In the paper, we investigate the lifting of recollements with respect to Gorenstein-projective modules. Specifically, a homological ring epimorphism can induce a lifting of the recollement of the stable category of finitely generated Gorenstein-projective modules; the recollement of the bounded Gorenstein derived categories of some upper triangular matrix algebras can be lifted to the homotopy category of Gorenstein-projective modules. As a byproduct, we give a sufficient and necessary condition on the upper triangular matrix algebra T_{n}(A) to be of finite CM-type for an algebra A of finite CM-type.
