The w-(b,c)-Core Inverse

FANG Li, ZHAO Liang

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

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 1: 26 - 35

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.01.003

The w-(b,c)-Core Inverse

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

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.

ZHAO Liang (1978-), male, native of Minle, Gansu, professor of Anhui University of Technology, engages in algebra.

Received date: 2024-11-12

Online published: 2025-03-30

Supported by

Supported by National Natural Science Foundation of China (Grant No. 12161049).

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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

Cite this article

FANG Li, ZHAO Liang . The w-(b,c)-Core Inverse[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(1) : 26 -35 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.01.003

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