Reverse order law for the inverse along an element

被引：26

作者：

Zhu, Huihui ^{[1
,2
]}

Chen, Jianlong ^{[1
]}

Patricio, Pedro ^{[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 | 2017年 / 65卷 / 01期

基金：

中国国家自然科学基金;

关键词：

(Left; right) inverses along an element; reverse order law; Green's preorders; semigroups; rings; MOORE-PENROSE INVERTIBILITY; GENERALIZED INVERSES;

D O I：

10.1080/03081087.2016.1178209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new concept called left (right) g-MP inverse in a *-monoid. The relations of this type of generalized inverse with left inverse along an element are investigated. Also, the reverse order law for the inverse along an element is studied. Then, the existence criteria and formulae of the inverse of the product of triple elements along an element are investigated in a monoid. Finally, we further study left and right g-MP inverses, the inverse along an element in the context of rings.

引用

页码：166 / 177

页数：12

共 10 条

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