摘要
引入弱Gorenstein X-投(内)射模,讨论其基本同调性质,证明在任意环R上,若lD(R) ≤ 1,则Gorenstein X-投(内)射模类、弱Gorenstein X-投(内)射模类、Gorenstein投(内)射模类和弱Gorenstein投(内)射模类是同一个类。
Weak Gorenstein X-projective (injective) modules are introduced. The homological properties of the two types of modules are investigated. It is proved that on the ring R, if lD(R) ≤ 1, then the class of Gorenstein X-projective (injective) modules, the class of weak Gorenstein X-projective (injective) modules, the class of Gorenstein projective (injective) modules and the class of weak Gorenstein projective (injective) modules are the same class.
出处
《理论数学》
2022年第4期525-531,共7页
Pure Mathematics
