弱Gorenstein X-投(内)射模
Weak Gorenstein X-Projective (Injective) Modules
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。
Abstract:
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.
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