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Commuting-like elements in prime rings with derivations
Journal article   Peer reviewed

Commuting-like elements in prime rings with derivations

Omar Ait Zemzami, Khalid Ouarghi and Abdellah Mamouni
Rendiconti del Circolo matematico di Palermo, Vol.71(2), pp.665-676
01/08/2022
DOI: https://doi.org/10.1007/s12215-021-00606-w

Abstract

Algebra Analysis Applications of Mathematics Article general Geometry Mathematics Mathematics and Statistics
Our purpose in this paper is to show that certain elements, defined by commutativity conditions involving derivations over prime rings, are either central elements or they classified the involved derivations. Moreover, we provide examples to show that obtained results can not be extended to semi-prime rings.

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