Mustansiriyah Journal of Pure and Applied Sciences

Jordan Generalized Higher Symmetric Reverse Bi-Derivations on Prime Γ-Rings

Γ جوردان تعميم المشتقات الثنائية المتعاكسة العليا المتناظرة على الحلقات الأولية من النمط

Jafar Salih

a:1:{s:5:"en_US";s:11:"Mathematics";}

Salah Mehdi Salih

DOI: https://doi.org/10.47831/mjpas.v3i1.123

Keywords: Symmetric bi-derivation, Symmetric reverse bi-derivation, Higher symmetric reverse bi- derivations, Generalized higher symmetric reverse bi-derivations.

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Abstract

Abstract: In this paper we show that, every Jordan generalized higher symmetric reverse bi-derivations is a generalized higher symmetric reverse bi-derivations on a ring M. Additionally, a generalized higher symmetric reverse is Jordan generalized higher symmetric triple reverse bi-derivation on a 2-torsion free ring M.