| 反向极限与模的FP-内射包 |
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| 引用本文： | 王芳贵. 反向极限与模的FP-内射包[J]. 数学研究及应用, 1990, 10(4): 541-544 |
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| 作者姓名： | 王芳贵 |
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| 作者单位： | 南京大学数学系 |
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| 基金项目： | 国家自然科学基金会资助项目. |
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| 摘 要： | Let R be a ring with unit element, and A a left R-module. A is called FP-injective if ExtR′(P, A)=0 for every finitely presented R-module P. Let ER(A) denote the injective hull of A. In the paper we prove by means of inverse limit functor that any module A Over coherent ring R has the minimum FP-injective submodule eR(A) in ER(A) which contains A and can be defined as the FP-injective hull of A.
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| 关 键 词： | 凝聚环 反向极限 FP－内射模 |
| 收稿时间： | 1988-12-07 |
Inverse limit and FP-Injective Hulls of Modules |
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| Wang Fanggui. Inverse limit and FP-Injective Hulls of Modules[J]. Journal of Mathematical Research with Applications, 1990, 10(4): 541-544 |
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| Authors: | Wang Fanggui |
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| Affiliation: | Nanjing University |
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