关于半对偶化模的Gorenstein模的稳定性（英文）

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.