| 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 |
| 反向极限与模的FP-内射包 |
| Inverse limit and FP-Injective Hulls of Modules |
| 投稿时间：1988-12-07 |
| DOI：10.3770/j.issn:1000-341X.1990.04.016 |
| 中文关键词: |
| 英文关键词: |
| 基金项目:国家自然科学基金会资助项目. |
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| 中文摘要: |
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| 英文摘要: |
| 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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