Jordan Higher Triple Left Resp. Right Centralizers of Prime Γ-Rings

Abstract

hrough this paper we define the higher triple left resp. right centralizers of a Γ-ring Ɠ, and study some properties of Jordan higher triple left resp. right centralizers of Ɠ, addition to we prove that: every Jordan higher triple left resp- right centralizer of a Γ-ring Ɠ is higher triple left resp. right centralizer f Ɠ when Ɠ is a 2-torsion free prime gamma ring. Prime Γ-ring, Higher left centralizer, Higher triple left centralizer, Jordan higher triple left centralizer.