The w-core inverse of a product and its applications

被引：1
|
作者：
Yang, Yuxuan [1 ]
Zhu, Huihui [1 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
来源：
FILOMAT | 2023年 / 37卷 / 14期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
w-core inverses; dual v-core inverses; inverses along an element; Moore-Penrose inverses; matrices over a ring; MOORE-PENROSE INVERSE; 2; X-2; MATRICES; GENERALIZED INVERSES; RINGS; ELEMENT;
D O I：
10.2298/FIL2314587Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R be a unital *-ring. This paper establishes necessary and sufficient conditions for the existence of the w-core inverse of a regular element by units in R. Then, the existence criterion of the w-core inverse of the product of three elements are derived. As applications, the existence criterion and expression of the w-core inverse of 2 x 2 matrices over a ring are given.
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页码：4587 / 4601
页数：15
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