弱Gorenstein X-投(内)射模  

Weak Gorenstein X-Projective (Injective) Modules

作　　者：武新文 

机构地区：[1]敦煌市第二中学,甘肃 敦煌

出　　处：《理论数学》2022年第4期525-531,共7页Pure Mathematics

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.

关 键 词：弱Gorenstein X-投(内)射模 wGXI-封闭环 

分 类 号：O153.3[理学—数学]