关于半对偶化模的Gorenstein模的稳定性
STABILITY OF GORENSTEIN MODULES WITH RESPECT TO A SEMIDUALIZING MODULE

本文研究了相对于半对偶化模C的Gorenstein模（即Gorenstein C-投射模，Gorenstein C-内射模和Gorenstein C-平坦模）的稳定性的问题.利用同调的方法，获得了Gorenstein C-投射（C-内射，C-平坦）模具有很好的稳定性的结果，推广了Gorenstein投射（内射，平坦）模具有很好的稳定性的结果.
This paper mainly study the stability of Gorenstein modules with respect to a semidualizing module C (i.e., Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat modules). With the method of homology, we gain the result that Gorenstein C-projective (resp., C-injective, C-flat) modules have a nice stability, which generalizes the result that Gorenstein projective (resp., injective, flat) modules have a nice stability