On the Drazin index of regular elements

被引：38

作者：

Patricio, Pedro ^{[1
]}

da Costa, Antonio Veloso ^{[1
]}

机构：

[1] Univ Minho, Ctr Matemat, Braga, Portugal

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2009年 / 7卷 / 02期

关键词：

Drazin inverse; Drazin index; Dedekind finite ring; Regular ring;

D O I：

10.2478/s11533-009-0015-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the existence of the group inverse a (#) of a ring element a is equivalent to the invertibility of a (2) a (-) + 1 - aa (-), independently of the choice of the von Neumann inverse a (-) of a. In this paper, we relate the Drazin index of a to the Drazin index of a (2) a (-) + 1 - aa (-). We give an alternative characterization when considering matrices over an algebraically closed field. We close with some questions and remarks.

引用

页码：200 / 205

页数：6

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