w-(b,c)-核逆

doi:10.13371/j.cnki.chin.q.j.m.2025.01.003

数学季刊 ›› 2025, Vol. 40 ›› Issue (1): 26-35.doi: 10.13371/j.cnki.chin.q.j.m.2025.01.003

w-(b,c)-核逆

School of Microelectronics and Date Science, Anhui University of Technology, Maanshan 243032, China

收稿日期:2024-11-12 出版日期:2025-03-30 发布日期:2025-03-30
通讯作者: 赵良 E-mail:lzhao@ahut.edu.cn
作者简介:FANG Li (1999-), female, native of Huainan, Anhui, postgraduate student of Anhui University of Technology, engages in algebra; ZHAO Liang (1978-), male, native of Minle, Gansu, professor of Anhui University of Technology, engages in algebra.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 12161049).

The w-(b,c)-Core Inverse

School of Microelectronics and Date Science, Anhui University of Technology, Maanshan 243032, China

Received:2024-11-12 Online:2025-03-30 Published:2025-03-30
Contact: ZHAO Liang E-mail:lzhao@ahut.edu.cn
About author:FANG Li (1999-), female, native of Huainan, Anhui, postgraduate student of Anhui University of Technology, engages in algebra; ZHAO Liang (1978-), male, native of Minle, Gansu, professor of Anhui University of Technology, engages in algebra.
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 12161049).

摘要/Abstract

摘要： We introduce and study a new kind of generalized inverses named w-(b,c)-core inverses, which is a generalization of the (b,c)-core inverse. An example is given to show that w-(b,c)-core inverses need not be (b,c)-core inverses. In addition, the dual version of the w-(b,c)-core inverse is studied. Some results on (b,c)-core inverses and e-(b,c)-core
inverses are unified and generalized.

关键词: w-(b,c)-core inverse, e-(b,c)-core inverse, Dual w-(b,c)-core inverse

Abstract: We introduce and study a new kind of generalized inverses named w-(b,c)-core inverses, which is a generalization of the (b,c)-core inverse. An example is given to show that w-(b,c)-core inverses need not be (b,c)-core inverses. In addition, the dual version of the w-(b,c)-core inverse is studied. Some results on (b,c)-core inverses and e-(b,c)-core
inverses are unified and generalized.

Key words: w-(b,c)-core inverse, e-(b,c)-core inverse, Dual w-(b,c)-core inverse

中图分类号:

O153.3

方莉, 赵良. w-(b,c)-核逆[J]. 数学季刊, 2025, 40(1): 26-35.

FANG Li, ZHAO Liang. The w-(b,c)-Core Inverse[J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 26-35.

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w-(b,c)-核逆

The w-(b,c)-Core Inverse

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