THE INVERSE ALONG AN ELEMENT IN RINGS

被引：26

作者：

Benitez, Julio ^{[1
]}

Boasso, Enrico ^{[2
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat, Dept Matemat Aplicada, Camino Vera SN, E-46022 Valencia, Spain

[2] Via Cristoforo Cancellieri 2, I-34137 Trieste, TS, Italy

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2016年 / 31卷

关键词：

Inverse along an element; Drazin inverse; Generalized Drazin inverse; Group inverse; Moore-Penrose inverse; Unitary ring; GENERALIZED INVERSES;

D O I：

10.13001/1081-3810.3113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several properties of the inverse along an element are studied in the context of unitary rings. New characterizations of the existence of this inverse are proved. Moreover, the set of all invertible elements along a fixed element is fully described. Furthermore, commuting inverses along an element are characterized. The special cases of the group inverse, the (generalized) Drazin inverse and the Moore-Penrose inverse (in rings with involutions) are also considered.

引用

页码：572 / 592

页数：21

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