| 相对复盖与包络 |
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| 引用本文： | 丁南庆,陈建龙.相对复盖与包络[J].数学学报,1998,41(3):609-616. |
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| 作者姓名： | 丁南庆 陈建龙 |
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| 作者单位： | 南京大学数学系(丁南庆)，东南大学应用数学系(陈建龙) |
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| 基金项目： | 国家自然科学基金,江苏省自然科学基金 |
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| 摘 要： | 本文旨在给出相对复盖与包络的特征刻划．作为应用，证明了：若Ｒ为任意环，０ＡＢＣ０为左Ｒ 模正合列并且Ａ与Ｃ都有平坦复盖，则Ｂ有平坦复盖．
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| 关 键 词： | 复盖，包络，分解范畴 |
| 收稿时间： | 1997-7-4 |
Relative Covers and Envelopes |
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| Ding Nanqing.Relative Covers and Envelopes[J].Acta Mathematica Sinica,1998,41(3):609-616. |
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| Authors: | Ding Nanqing |
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| Institution: | Ding Nanqing (Department of Mathematics, Nanjing University, Nanjing 210093, China) Chen Jianlong ( Department of Applied Mathematics, Southeast University, Nanjing 210096 , China ) |
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| Abstract: | The purpose of this paper is to give characterizations of relative covers and envelopes. As an application, it is shown that for any ring R , if 0 A B C 0 is an exact sequence of left R modules, where both A and C have flat covers, then B has a flat cover. |
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| Keywords: | Cover Envelope Resolving category |
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