Some characterizations of strongly partial isometry elements in rings with involutions

نویسندگان

چکیده

In this paper, we study an element which is both group invertible and Moore Penrose to be EP, partial isometry strongly EP by discussing the existence of solutions in a definite set some given constructive equations. Mainly, let ? R# R+. Then firstly show that REP if only Equation : axa+ + a+ax = 2x has at least one solution ?a {a, a#, a+, (a#)+, (a+)+}. Next, RSEP Equation: ?a. Finally, RPI aya+x xy ?2a , where

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ژورنال

عنوان ژورنال: Filomat

سال: 2022

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2203843z