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.
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页码：156 / 164
页数：9
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