强泛Gorenstein FC-投射模
Strongly Universal Gorenstein FC-Projective Modules
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。
Abstract:
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)<∞, then the class of FC-projective modules, the class of Gorenstein FC-projective modules, the class of weak Gorenstein FC-projective modules, the class of strongly Gorenstein FC-projective modules and the class of strongly universal Gorenstein FC-projective modules are the same class.
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