The inverse along a product and its applications

被引：13

作者：

Zhu, Huihui ^{[1
]}

Patricio, Pedro ^{[2
,3
]}

Chen, Jianlong ^{[1
]}

Zhang, Yulin ^{[2
,3
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R China

[2] Univ Minho, CMAT Ctr Matemat, Braga, Portugal

[3] Univ Minho, Dept Matemat & Aplicacoes, Braga, Portugal

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 05期

基金：

中国国家自然科学基金;

关键词：

von Neumann regularity; inverse along an element; Green's relations; matrices over a ring; 15A09; 16E50; SEMIGROUPS; RINGS; CORE;

D O I：

10.1080/03081087.2015.1059796

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix.

引用

页码：834 / 841

页数：8

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