加权右核逆及加权右伪核逆的刻画

吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (4): 733-738.

加权右核逆及加权右伪核逆的刻画

柯圆圆¹, 梁家辉², 王龙²

1. 江汉大学人工智能学院, 武汉 430056； 2. 扬州大学数学科学学院, 江苏扬州 225002

收稿日期:2022-08-10 出版日期:2023-07-26 发布日期:2023-07-26
通讯作者: 柯圆圆 E-mail: keyy086@126.com

Characterizations of Weighted Right Core Inverse and Weighted Right Pseudo Core Inverse

KE Yuanyuan¹, LIANG Jiahui², WANG Long²

1. School of Artificial Intelligence, Jianghan University, Wuhan 430056, China；
2. College of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu Province, China

Received:2022-08-10 Online:2023-07-26 Published:2023-07-26

摘要/Abstract

摘要： 利用代数方法考虑*-环上加权右核逆和加权右伪核逆的刻画问题. 首先, 引入加权右核逆的概念; 其次, 利用3个方程和右可逆元分别给出其刻画; 最后, 给出加权右伪核逆的定义和刻画.

关键词: 核逆, 加权核逆, 加权伪核逆, 右核逆, 加权右核逆, 加权右伪核逆

Abstract: We considered the characterization problem of weighted right core inverses and weighted right pseudo core inverses over *-rings by
using algebraic methods. Firstly, the concept of weighted right core inverse was introduced. Secondly, three equations and right invertible elements were used to give its characterization. Finally, the definition and characterization of weighted right pseudo core inverse were given.

Key words: core inverse, weighted core inverse, weighted pseudo core inverse, right core inverse, weighted right core inverse, weighted right pseudo core inverse

中图分类号:

O153.3

柯圆圆, 梁家辉, 王龙. 加权右核逆及加权右伪核逆的刻画[J]. 吉林大学学报(理学版), 2023, 61(4): 733-738.

KE Yuanyuan, LIANG Jiahui, WANG Long. Characterizations of Weighted Right Core Inverse and Weighted Right Pseudo Core Inverse[J]. Journal of Jilin University Science Edition, 2023, 61(4): 733-738.