%0 Journal Article %T 关于半对偶化模的Gorenstein模的稳定性<br>STABILITY OF GORENSTEIN MODULES WITH RESPECT TO A SEMIDUALIZING MODULE %A 作者 %A 王占平 %A 郭寿桃 %A 马海玉 %J 数学杂志 %D 2017 %X 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.<br>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 %K Gorenstein C-投射(内射 %K 平坦)模 稳定性< %K br> %K Gorenstein C-projective (injective %K flat) modules stability %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170605&flag=1