| 上三角矩阵代数上的可加保极小秩映射 |
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| 引用本文： | 郭钰,侯晋川.上三角矩阵代数上的可加保极小秩映射[J].数学研究及应用,2011,31(6):951-964. |
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| 作者姓名： | 郭钰 侯晋川 |
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| 作者单位： | 山西大同大学数学系, 山西 大同 037009; 山西大学数学科学学院, 山西 太原 030006; 太原理工大学数学系, 山西 太原 030024;山西大学数学科学学院, 山西 太原 030006; 太原理工大学数学系, 山西 太原 030024 |
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| 基金项目： | 国家自然科学基金(Grant Nos.10771157;10871111),山西省回国留学人员基金(Grant No.2007-38). |
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| 摘 要： | The additive mappings that preserve the minimal rank on the algebra of all n × n upper triangular matrices over a field of characteristic 0 are characterized.
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| 关 键 词： | 上三角矩阵 加法映射 添加剂 |
| 收稿时间： | 6/9/2010 12:00:00 AM |
| 修稿时间： | 2010/10/3 0:00:00 |
Minimal Rank Preserving Additive Mappings on Upper Triangular Matrices |
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| Yu GUO and Jin Chuan HOU.Minimal Rank Preserving Additive Mappings on Upper Triangular Matrices[J].Journal of Mathematical Research with Applications,2011,31(6):951-964. |
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| Authors: | Yu GUO and Jin Chuan HOU |
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| Institution: | 1. Department of Mathematics, Shanxi Datong University, Shanxi 037009, P. R. China;Department of Mathematics, Shanxi University, Shanxi 030006, P. R. China ;Department of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China
2. Department of Mathematics, Shanxi University, Shanxi 030006, P. R. China ;Department of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China |
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| Abstract: | The additive mappings that preserve the minimal rank on the algebra of all $n\times n$ upper triangular matrices over a field of characteristic 0 are characterized. |
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| Keywords: | rank minimal rank upper triangular matrices additive mappings |
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