| 摘要: |
| 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. |
| 关键词: Gorenstein C-投射(内射,平坦)模 稳定性 |
| DOI： |
| 分类号:O154.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11561061; 11261050). |
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| STABILITY OF GORENSTEIN MODULES WITH RESPECT TO A SEMIDUALIZING MODULE |
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WANG Zhan-ping, GUO Shou-tao, MA Hai-yu
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School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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| Abstract: |
| 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. |
| Key words: Gorenstein C-projective (injective, flat) modules stability |
