New results on (b,c)-inverses

被引：16
|
作者：
Ke, Yuanyuan [1 ]
Cvetkovic-Ilic, Dragana S. [2 ]
Chen, Jianlong [1 ]
Visnjic, Jelena [3 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R China
[2] Univ Nis, Fac Sci & Math, Nish, Serbia
[3] Univ Nis, Fac Med, Nish, Serbia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Generalized inverse; (b; c)-inverse; the inverse along an element; core inverse; dual core inverse; Bott-Duffin; (e; f)-inverse; OUTER GENERALIZED INVERSES; CORE INVERSE; IDEMPOTENTS; RINGS;
D O I：
10.1080/03081087.2017.1301362
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present some necessary and sufficient conditions for the existence of the (b,c)-inverse and several representations for the (b,c)-inverse related to the group inverse. Since Mary inverse, core inverse, dual core inverse and Bott-Duffin (e,f)-inverse are all the special cases of the (b,c)-inverse, related results for these inverses are obtained.
引用
收藏
页码：447 / 458
页数：12
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