Gorenstein FPn-投射模

On Gorenstein FPn-Projective Modules

设R是一个环,且n≥1是整数.作为Gorenstein FP-投射模的推广,引入并研究了Gorenstein FPn-投射模,刻画了该模类的一些基本性质,并证明了Gorenstein FPn-投射模类是投射可解的,进而讨论了该模类的稳定性.

Let R be a ring and n≥1 be an integer.As a generalization of Gorenstein FP-projective modules,Gorenstein FPn-projective modules have been introduced and investigated in this paper.After discussing some basic homological properties of Gorenstein FPn-projective modules,it is proved that the class of Gorenstein FPn-projective modules is projectively resolving.Finally,the stability of Gorenstein FPn-projective modules has also been discussed.