摘要
引入弱Gorenstein FC-投射模和强泛Gorenstein FC-投射模,讨论了这两类模的同调性质,证明了在右余凝聚环R上,若r.FC.gl.dim(R)【∞,则FC-投射模类、Gorenstein FC-投射模类、弱Gorenstein FC-投射模类、强Gorenstein FC-投射模类和强泛Gorenstein FC-投射模类是同一个类。
Weak Gorenstein FC-projective and Strongly universal Gorenstein FC-projective modules are in-troduced, the homological properties of the two types of modules are investigated. It is proved that on the right cocoherent ring R, if r.FC.gl.dim(R)
出处
《理论数学》
2021年第4期647-653,共7页
Pure Mathematics
