GENERALIZED INVERSES OF A SUM IN RINGS

被引：55

作者：

Castro-Gonzalez, N. ^{[1
]}

Mendes-Araujo, C. ^{[2
]}

Patricio, Pedro ^{[2
]}

机构：

[1] Univ Politecn Madrid, Fac Informat, E-28660 Madrid, Spain

[2] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 82卷 / 01期

关键词：

regular element; reflexive inverse; Drazin index; Drazin inverse; EP elements; SPECTRAL IDEMPOTENTS; ELEMENTS;

D O I：

10.1017/S0004972710000080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study properties of the Drazin index of regular elements in a ring with a unity 1. We give expressions for generalized inverses of 1 - ba in terms of generalized inverses of 1 - ab. In our development we prove that the Drazin index of 1 - ba is equal to the Drazin index of 1 - ab.

引用

页码：156 / 164

页数：9

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