JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 16-19.doi: 10.6040/j.issn.1671-9352.0.2023.312

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Characterizations of EP elements and bi-EP elements

LI Tingting1, GAO Yuefeng2, KE Yuanyuan3*   

  1. 1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu, China;
    2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;
    3. School of Artificial Intelligence, Jianghan University, Wuhan 430056, Hubei, China
  • Published:2025-11-11

Abstract: Let R be a ring and a∈R. When a∈R#∩R†, we give some characterizations such that a is an EP element or a bi-EP element by the Moore-Penrose inverse and group inverse of elements in {a,a#,(a)*,a,a*,(a#)*}.

Key words: Moore-Penrose inverse, group inverse, EP element, bi-EP element

CLC Number: 

  • O152
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