| FP-内射模的两个特征 |
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| 引用本文： | 朱占敏.FP-内射模的两个特征[J].松辽学刊,2008,29(3):58-59. |
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| 作者姓名： | 朱占敏 |
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| 作者单位： | 嘉兴学院数学系,浙江嘉兴314001 |
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| 基金项目： | 湖北省教育厅科研项目 |
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| 摘 要： | 本文证明了一个右R-模M是FP-内射的当且仅当对任意正整数n，由M导出的右R^n×n模M^n×n是P-内射的，当且仅当对任意正整数n，由M导出的右R^n×n模M^n×n是GP-内射的．
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| 关 键 词： | FP-内射模 P-内射模 GP-内射模 |
Two Characterizations of FP-injective Modules |
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| ZHU Zhan-min.Two Characterizations of FP-injective Modules[J].Songliao Journal (Natural Science Edition),2008,29(3):58-59. |
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| Authors: | ZHU Zhan-min |
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| Institution: | ZHU Zhan-min ( Department of mathematics, Jiaxing University, Jiaxing 314001, China) |
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| Abstract: | For a right R-module M, the following statements are equivalent. First, MR is FP-injective. Second, For any positive integer n, the right R^n×n-module M^n×n n derived by M is P-injective. Last, For any positive integer n, the right R^n×n-module M^n×n derived by M is GP-injective. |
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| Keywords: | FP-injective mod ules P-injective modules GP-injective modules |
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