New characterizations for the weighted (b, c)-inverse in rings and their applications
New characterizations for the weighted (b, c)-inverse in rings and their applications
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DOI：
10.1007/s13398-023-01468-w
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发表时间：
2023-06
期刊：
影响因子：
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通讯作者：
Sanzhang Xu;Ding-Guo Wang;J. Benítez
中科院分区：
文献类型：
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作者：
Sanzhang Xu;Ding-Guo Wang;J. Benítez
本文给出了（v，w）-加权（B，c）-可逆的充要条件，其中a，B，c，v是单位环的元素.本文讨论了（v，w）-加权（B，c）-可逆性、零化子（v，w）-加权（B，c）-可逆性与左（分别）-可逆性之间的关系。右）混合（v，w）-加权（B，c）-逆，作为应用，我们分别研究了加权（B，c）-逆和左（v，w）-加权（b，c）-逆的逆序律.右）加权（B，c）-可逆性。
In this paper, necessary and sufficient conditions forato be (v,w)-weighted (b,c)-invertible are given, wherea,b,c,v,ware 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.