New characterizations for the weighted (b, c)-inverse in rings and their applications

被引：0
作者：
Xu, Sanzhang [1 ,2 ]
Wang, Dingguo [2 ]
Benitez, Julio [3 ]
机构：
[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[3] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Ring; (v; w)-weighted; (b; c)-inverse; Reverse order law; Product; Inner inverse; MOORE-PENROSE INVERSE; G-DRAZIN INVERSE;
D O I：
10.1007/s13398-023-01468-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, necessary and sufficient conditions for a to be (v, w)-weighted (b, c)-invertible are given, where a, b, c, v, w are elements of a unital ring. The relationships between the (v, w)-weighted (b, c)-invertibility, annihilator (v, w)-weighted (b, c)-invertibility and left(resp. right) hybrid (v, w)-weighted (b, c)-invertibility are obtained. As applications, we investigate the reverse order law of the weighted (b, c)-inverse and left(resp. right) weighted (b, c)-invertibility of a product.
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页数：9
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