SOME NEW CHARACTERIZATIONS OF PARTIAL ISOMETRIES IN RINGS WITH INVOLUTION

Authors : Dandan ZHAO, Junchao WEI

Pages : 304-311

Doi:10.24330/ieja.969942

View : 37 | Download : 11

Publication Date : 2021-07-17

Article Type : Research Paper

Abstract :In this paper, some characterizations of partial isometries, normal elements and strongly $EP$ elements are given by the construction of $EP$ elements. At the same time, the partial isometry elements are characterized by the existence of solutions of equations in rings in a given set, and also by the general form of solutions of given equations.
Keywords : Group inverse, MP invertible element, partial isometry element, EP element, strongly EP element, normal element

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