关于半对偶化模的Gorenstein模的稳定性（英文）
发布时间：2018-12-08 16:03
【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.
[Abstract]:In this paper, we study the stability of Gorenstein modules (that is, Gorenstein C- projective modules, Gorenstein C- injective modules and Gorenstein C- flat modules) relative to semi-dual modules C. By using the homology method, the results of good stability of Gorenstein C- projection (C- injective, C- flat) die are obtained, and the results of Gorenstein projection (injective, flat) mold are generalized.
【作者单位】： 西北师范大学数学与统计学院;
【基金】：Supported by National Natural Science Foundation of China(11561061;11261050)
【分类号】：O153.3
[Abstract]:In this paper, we study the stability of Gorenstein modules (that is, Gorenstein C- projective modules, Gorenstein C- injective modules and Gorenstein C- flat modules) relative to semi-dual modules C. By using the homology method, the results of good stability of Gorenstein C- projection (C- injective, C- flat) die are obtained, and the results of Gorenstein projection (injective, flat) mold are generalized.
【作者单位】： 西北师范大学数学与统计学院;
【基金】：Supported by National Natural Science Foundation of China(11561061;11261050)
【分类号】：O153.3
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