| 同调方程 |
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| 引用本文： | 黄兆泳.同调方程[J].数学学报,2001,44(3):459-468. |
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| 作者姓名： | 黄兆泳 |
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| 作者单位： | 北京师范大学数学系;南京大学数学系 |
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| 基金项目： | 国家自然科学青年基金资助项目(10001017)；国家教委留学回国人员科研启动基金资助项目 |
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| 摘 要： | 设Ｒ是左、右凝聚环，Ｒ~ωＲ是一个忠实平衡自正交双模．对有限表现左Ｒ－模Ａ和正整数ｎ，本文研究了形如， 的同调方程．给出了模范畴为有限表现右Ｒ-模｝是子模闭的充要条件，并举例说明了该模范畴并非总是子模闭的，
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| 关 键 词： | 凝聚环 有限表现模 同调方程 子模闭 |
| 文章编号： | 0583-1431(2001)03-0459-010 |
| 修稿时间： | 1999年9月14日 |
Homological Equations |
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| HUANG Zhao Yong.Homological Equations[J].Acta Mathematica Sinica,2001,44(3):459-468. |
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| Authors: | HUANG Zhao Yong |
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| Institution: | HUANG Zhao Yong (Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China) (Department of Mathematics, Nanjing University Nanjing 210093, P. R. China) |
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| Abstract: | Let R be a left and right coherent ring and RωR a faithfully balanced self-orthogonal bimodule. For any finitely presented left R-module A and a positive integern, we study in this paper the homological equations such as A = ExtnR(X, ω). Thenecessary and sufficient conditions of the category of modules {ExtnR(B, R)｜ B is anyfinitely presented right R-module} being submodule closed are given, and some ex-amples are given to explain that such a category of modules as above is not alwayssubmodule closed. |
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| Keywords: | Coherent rings Finitely presented modules Homological equations Submodule closed |
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