| 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]. 莆田高等专科学校学报, 2008, 0(5): 14-16 |
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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： | 福建省教育厅科技项目A类（JA05212,JA06009）;福建省科技厅F5项目（2007F5038） |
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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 College, 2008, 0(5): 14-16 |
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| Authors: | GUO Li-li ZHOU De-xu |
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| Affiliation: | ( School of Mathematics and 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 arc 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 M,,（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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