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; Salah Mehdi Salih

doi:10.47831/mjpas.v3i1.123

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

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

Authors

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.

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.