| 三角矩阵环是强clean环的环构造 |
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| 引用本文： | 李艳午,施吕蓉,储茂权.三角矩阵环是强clean环的环构造[J].海南师范大学学报(自然科学版),2013,26(1):28-30. |
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| 作者姓名： | 李艳午 施吕蓉 储茂权 |
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| 作者单位： | 1. 芜湖职业技术学院基础部,安徽芜湖,241003
2. 安徽师范大学数学与计算机科学学院,安徽芜湖,241000 |
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| 基金项目： | 安徽省教育厅自然科学研究重点项目，安徽省2013年省级自然科学研究项目 |
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| 摘 要： | 利用整数环，构造了两个具有局部化性质的环，证明了所构造的环上的矩阵环的强clean性．最后，根据局部环的性质，证明了所构造的环上的投射模都是自由模．
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| 关 键 词： | 局部环 强clean环 三角矩阵环 整数环 |
Construction of Rings Whose Triangular Matrix Rings are Strongly Clean Rings |
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| LI Yanwu
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SHI Lvrong
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CHU Maoquan.Construction of Rings Whose Triangular Matrix Rings are Strongly Clean Rings[J].Journal of Hainan Normal University:Natural Science,2013,26(1):28-30. |
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| Authors: | LI Yanwu SHI Lvrong CHU Maoquan |
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| Affiliation: | 1. Department of Basic Courses, Wuhu Vocational College of Technology, Wuhu 241003, China ; 2. College of Mathematics and Computer Science ,Anhui Normal University, Wuhu 241000, China) |
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| Abstract: | We constructed two rings which have the localized nature with the ring of integers and we proved that trian- gular matrix rings are strongly clean rings on those rings. Finally, we proved that all projective modules are free modules on the rings which we constructed according to the property of the local ring. |
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| Keywords: | local ring strongly clean ring triangular matrix ring integer ring |
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