Linear maps preserving Drazin inverses of matrices over fields

被引：4
|
作者：
Chang, CJ [1 ]
机构：
[1] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 396卷
关键词：
field; linear map; drazin inverse;
D O I：
10.1016/j.laa.2004.09.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let F be a field with at least five elements, M-n (F) the n x n full matrix algebra over F. In this paper, we determine the forms of linear maps from M, (F) to M-m (F) preserving Drazin inverses of matrices under ch Fnot equal 2 and in m > 1, and also determine the forms of linear bijections from M-n(F) to itself preserving Drazin inverses of matrices under cF = 2 and n > 1. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：159 / 173
页数：15
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