Jordan Higher Reverse Derivations on Prime

Abstract

The aim of this paper is to investigate Jordan higher reverse derivations on prime Γ -semirings. We introduce a higher revers derivation and a Jordan higher derivation in Γ -semirings. For a 2-torsion free prime Γ -semiring M such that  xαyβz = xβyαz for all x,y, z∈M and α,β ∈Γ we prove that every Jordan higher reverse derivation of M is a higher reverse derivation of M.