JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (12): 11-18.doi: 10.6040/j.issn.1671-9352.0.2023.156

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Characterizing SEP elements based on generalized inverse elements in rings with involution

LIANG Jiahui, WANG Long, WEI Junchao*   

  1. College of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Published:2024-12-12

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Abstract: In this paper, we firstly study some characterizations of SEP elements in rings with involution by the solvability of certain equation and construct the group inverses, MP inverses and invertible elements; Then we depict SEP elements by the solution of the equations, generalized inverse equations and the general solution of bivariate equations in a certain set.

Key words: EP element, partial isometry element, strongly EP element, involution ring

CLC Number: 

  • O153.3
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