m-weak group inverses in a ring with involution

被引：23

作者：

Zhou, Yukun ^{[1
]}

Chen, Jianlong ^{[1
]}

Zhou, Mengmeng ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 115卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Weak group inverse; m-Weak group inverse; Pseudo core inverse; MOORE-PENROSE; CORE INVERSE; M-EP;

D O I：

10.1007/s13398-020-00932-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore, we define them-weak group inverse and show some properties ofm-weak group inverse.

引用

页数：13

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