| 几乎余挠模 |
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| 引用本文： | 毛立新.几乎余挠模[J].东北数学,2006,22(1):67-72. |
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| 作者姓名： | 毛立新 |
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| 作者单位： | Department of |
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| 基金项目： | Specialized Research Fund (20050284015, 20030284033) for the Doctoral Program of Higher Education of China
the Postdoctoral Research Fund (2005037713) of China
Jiangsu Planned Projects for Postdoctoral Research Fund (0203003403)
the Research Fund of Nanjing Institute of Technology of China |
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| 摘 要： | In this paper, we introduce the concept of almost cotorsion modules. A module is called almost cotorsion if it is subisomorphic to its cotorsion envelope. Some characterizations of almost cotorsion modules are given. It is also proved that every module is a direct summand of an almost cotorsion module. As an application, perfect rings are characterized in terms of almost cotorsion modules.
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| 关 键 词： | 环论 R模数 完全环 包络 |
Almost Cotorsion Modules |
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| MAO Li-xin.Almost Cotorsion Modules[J].Northeastern Mathematical Journal,2006,22(1):67-72. |
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| Authors: | MAO Li-xin |
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| Institution: | [1]Department of Basic Courses, Nanjing Institute of Technology, Nanjing, 211167 [2]Department of Mathematics, Nanjing University, Nanjing, 210093 |
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| Abstract: | In this paper, we introduce the concept of almost cotorsion modules. A module is called almost cotorsion if it is subisomorphic to its cotorsion envelope. Some characterizations of almost cotorsion modules are given. It is also proved that every module is a direct summand of an almost cotorsion module. As an application, perfect rings are characterized in terms of almost cotorsion modules. |
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| Keywords: | cotorsion module almost cotorsion module perfect ring envelope |
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