Strongly EP elements and the solutions of equations in rings

Year 2022, , 129 - 140, 16.07.2022

Yue Suı Yimin Huang Junchao Weı

https://doi.org/10.24330/ieja.1143740

Cited By: 1

Abstract

In this paper, we present many new characterizations of strongly EP elements in rings with involution. We especially investigate the strongly EP elements by constructing certain equations and considering the solutions of equations, revealing the existence of solutions of certain equations and the general solutions of some binary equations that play a role in characterizing strongly EP elements. Proofs of relevant conclusions are also given.

Keywords

EP element, strongly EP element, partial isometry, solutions of equations, general solutions

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