| Minimal Rank Preserving Additive Mappings on Upper Triangular Matrices |
| Received:June 09, 2010 Revised:October 03, 2010 |
| Key Words:
rank minimal rank upper triangular matrices additive mappings.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10771157; 10871111) and Research Grant to Returned Scholars of Shanxi Province (Grant No.2007-38). |
| Author Name | Affiliation | | Yu GUO | 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 | | Jin Chuan HOU | 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.06.001 |
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