Linear maps preserving Drazin inverses of matrices over fields

被引：5

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

页码：159 / 173

页数：15

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