| FP-内射环 |
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| 引用本文： | 蒋方明.FP-内射环[J].南京理工大学学报(自然科学版),1992(3). |
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| 作者姓名： | 蒋方明 |
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| 作者单位： | 华东工学院应用数学系 |
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| 摘 要： | 该文讨论了左FP-内射环和左IF环,证明了没有非零幂零元的左FP-内射环是Von Neumann正则环。以及给出了左IF环的一个特征性质:环R是左IF环当且仅当R是右H-凝聚环且任意有限表示左R-模是自反的。所得结果推广了S.Jain和E.Matlis的相应结果。
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| 关 键 词： | 结合环 模 同调代数 内射 正合 IF环 Von Neumann正则环 |
FP-Injective Rings. |
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| Jiang Fangming.FP-Injective Rings.[J].Journal of Nanjing University of Science and Technology(Nature Science),1992(3). |
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| Authors: | Jiang Fangming |
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| Institution: | Jiang Fangming Department of Applied Mathematics |
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| Abstract: | This paper discussed left FP-injective rings and left IF rings. Itproved that a left FP-injective ring without nonzero nilpotent elements is aVon Neumann regular ring and presents a characteristic property of left IFring, namely,a ring,is a left IF ring if and only if it is right H-coherent andall finite present left R -modules are reflex. These results extend the results ofS. Jain and E. Matlis. |
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| Keywords: | associative ring module (mathematics) homological algebra injective exact IF ring Von Neumann regular ring |
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