Some additive results on Drazin inverse

被引：3

作者：

Liu Xiao-ji ^{[1
]}

Qin Xiao-lan ^{[1
]}

Julio, Benitez ^{[2
]}

机构：

[1] Guangxi Univ Nationalities, Fac Sci, Nanning 530006, Peoples R China

[2] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2015年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Drazin inverse; ring; block matrix; MATRICES; REPRESENTATIONS; IDEMPOTENTS; SUM;

D O I：

10.1007/s11766-015-3333-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate additive results of the Drazin inverse of elements in a ring R. Under the condition ab = ba, we show that a + b is Drazin invertible if and only if aa(D) (a+b) is Drazin invertible, where the superscript D means the Drazin inverse. Furthermore we find an expression of (a + b) (D) . As an application we give some new representations for the Drazin inverse of a 2 x 2 block matrix.

引用

页码：479 / 490

页数：12

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