| 强拟诣零clean环（英文） |
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| 引用本文： | 汪慧星.强拟诣零clean环（英文）[J].数学进展,2019(1):53-60. |
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| 作者姓名： | 汪慧星 |
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| 作者单位： | 安徽师范大学数学与统计学院 |
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| 基金项目： | Supported in part by NSFC(No.11401009);Anhui Provincial Natural Science Foundation(No.1408085QA01);the Key Natural Science Foundation of Anhui Educational Committee(No.KJ2014A082) |
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| 摘 要： | 环R中元素a称为强拟诣零clean元,若存在幂等元e∈R和拟幂零元q∈R使得eq=qe且a=e+q;称环R为强拟诣零clean环,如果R中每一个元素均是强拟诣零clean元.强拟诣零clean环介于强诣零clean环和强clean环之间,并且每一个强拟诣零clean元是强clean元.本文介绍了强拟诣零clean环的基本性质和结构,并研究了局部环R上广义矩阵环K_s(R)的强拟诣零clean性.
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| 关 键 词： | 强拟诣零clean环 局部环 广义矩阵环 |
Strongly Quasi-nil Clean Rings |
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| Institution: | (School of Mathematics and Statistics;Anhui Normal University,Wuhu,Anhui,241003,P.R.China) |
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| Abstract: | WA.NG Huixing(School of Mathematics and Statistics;Anhui Normal University,Wuhu,Anhui,241003,P.R.China) |
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| Keywords: | strongly quasi-nil clean ring local ring generalized matrix ring |
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