Chinese Quarterly Journal of Mathematics ›› 2025, Vol. 40 ›› Issue (1): 26-35.doi: 10.13371/j.cnki.chin.q.j.m.2025.01.003

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The w-(b,c)-Core Inverse

  

  1. 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).

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

CLC Number: