| Gorenstein环上的Gorenstein投射模 |
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| 引用本文： | 宋杨,杜先能.Gorenstein环上的Gorenstein投射模[J].安徽大学学报(自然科学版),2010,34(3). |
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| 作者姓名： | 宋杨 杜先能 |
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| 作者单位： | 安徽大学,数学科学学院,安徽,合肥,230039 |
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| 基金项目： | 安徽大学博士点基金资助项目 |
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| 摘 要： | Du Xianneng和Chen Zhengxin用Gorenstein内射模刻画了Gorenstein环.作者根据Gorenstein投射模来刻画Gorenstein环,利用推出图,得到了定理3.由该文可以看出n-Gorenstein环与Gorenstein投射模的对应关系.在此基础上,又得到了定理4中的两个结论的等价性,在一定意义上拓展了Gorenstein投射模的有关结论.
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| 关 键 词： | Gorenstein环 Gorenstein投射模 投射分解 投射预解式 |
Gorenstein projective modules on Gorenstein rings |
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| SONG Yang,DU Xian-neng.Gorenstein projective modules on Gorenstein rings[J].Journal of Anhui University(Natural Sciences),2010,34(3). |
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| Authors: | SONG Yang DU Xian-neng |
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| Abstract: | According to Gorenstein injective module,Du Xianneng and Chen Zhengxin characterized Gorenstein ring.Using Gorenstein projective module,we characterized Gorenstein ring in this paper,and got the main theorem 3 by the push-out diagrams,which showed a clear relationship between the n-Gorenstein ring and Gorenstein projective module.On the above basis,we obtained the theorem 4,which described the equivalence between these two conclusions.In a certain sense,we extended the corresponding conclusion of Gorenstein projecitive module. |
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| Keywords: | Gorenstein ring Gorenstein projective module projective resolution projective resolve |
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