Author:
Mahmoudand Auday Hikmat,Oreibi Hussein Ali
Abstract
Abstract
The purpose of this research paper is to look into Jordan generalized higher reverse derivations on prime Γ-semirings. We begin by introducing a generalized hígher reverse derivations and a Jordan generalized hígher reverse derivations in Γ–semirings. For a 2-torsion free prime Γ-semiring M in the sense that 𝑎𝜆 Ϧβ ƈ = 𝑎 βϦ 𝜆ƈ for all 𝑎, Ϧ, ƈ ∈M and ᵶ β ∈Γ we prove that every Jordan generalized hígher reverse derivations of M is a generalized hígherlreverse derivations of M.
Subject
General Physics and Astronomy
Reference13 articles.
1. The commutativity in prime gamma rings with left derivation;Asci;International Mathematical,2007
2. On The Γ-rings of Nobusawa;Barnes;Pacific J. Math,1966
3. On Some additive mappings in rings with involution;Bresar;Aequation Math.
4. On Jordan Generalized Derivation in Gamma rings;Ceven;Hacettepe, J. of Mathematics and Statistics,2004