Strongly EP elements and the solutions of equations in rings

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International Electronic Journal of Algebra
Volume:32 Issue:32
Strongly EP elements and the solutions of equations in rings

Strongly EP elements and the solutions of equations in rings

Authors : Yue SUI, Yimin HUANG, Junchao WEI

Pages : 129-140

Doi:10.24330/ieja.1143740

View : 12 | Download : 10

Publication Date : 2022-07-16

Article Type : Research Paper

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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