| f—投射模的直积和正向极限 |
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| 引用本文： | 蒋方明.f—投射模的直积和正向极限[J].南京理工大学学报(自然科学版),1993(6):58-60. |
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| 作者姓名： | 蒋方明 |
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| 作者单位： | 南京理工大学理学院 |
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| 摘 要： | 该文讨论了f-投射模的直积和正向极限,证明了f-投射左R-模的直积是f-投射模的充要条件为R是右强凝聚环。以及证明了f-投射左R-模的正向极限是f-投射的充要条件为任意平坦左R-模是f-投射模。
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| 关 键 词： | 环论 模论 直积 顺向极限 正合 |
Direct Product and Direct Limit of f-projective Modules |
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| Jiang Fangming School of Sciences.Direct Product and Direct Limit of f-projective Modules[J].Journal of Nanjing University of Science and Technology(Nature Science),1993(6):58-60. |
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| Authors: | Jiang Fangming School of Sciences |
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| Institution: | Jiang Fangming School of Sciences |
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| Abstract: | This paper discussed the direct product and direct limitof left f-projective R-modules and proved that the direct product ofleft f-projective R-modules is left f-projective R-modules if and onlyif R is right strongly coherent. It also proved that the direct limit ofleft f-projective R-modules is left f-projective if and only if every leftflat R-module is left f-projective. |
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| Keywords: | rings modules (mathematics) direct products direct limits exact strongly coherent |
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