| 关于闭子模的零化子条件 |
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| 引用本文： | 郭丽丽,周德旭.关于闭子模的零化子条件[J].莆田学院学报,2008,15(5). |
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| 作者姓名： | 郭丽丽 周德旭 |
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| 作者单位： | 福建师范大学,数学与计算机科学学院,福建,福州,350007 |
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| 基金项目： | 福建省教育厅科研基金，福建省科技厅F5项目 |
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| 摘 要： | 主要研究闭子模都是零化子的模与环,即闭偶模与闭偶环,刻画了闭偶模和闭偶环,给出了n阶矩阵环Mn(R)为闭偶环的一些等价条件,证明了环R是右非奇异右扩张环当且仅当R是右闭偶Baer环。
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| 关 键 词： | 闭偶模 零化子条件 矩阵环 |
On Closed-Dual Modules |
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| GUO Li-li,ZHOU De-xu.On Closed-Dual Modules[J].journal of putian university,2008,15(5). |
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| Authors: | GUO Li-li ZHOU De-xu |
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| Institution: | GUO Li-li,ZHOU De-xu ( School of Mathematics , Computer Science,Fujian Normal University,Fuzhou Fujian 350007,China ) |
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| Abstract: | In this paper, we mainly investigate modules and rings with the property that closed submodules are annihilators, which are called closed-dual modules and closed-dual rings. We give some characterizations of these modules and rings, obtain some equivalent conditions for a matrix ring Mn(R) to be a closed-dual ring, and prove that R is a right non-singular and right extending ring if and only if R is a right closed-dual Baer ring. |
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| Keywords: | closed-dual module annihilator condition matrix ring |
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