Orthogonal Generalized Symmetric Higher bi-Derivations on Semiprime Г-Rings .
Symmetric Bi-derivations Г-ring
higher bi-derivations Г-ring
generalized higher bi-derivations Г-ring
orthogonal generalized symmetric higher bi-derivations Г-ring
In this paper a Г-ring M is presented. We will study the concept of orthogonal generalized symmetric higher bi-derivations on Г-ring. We prove that if M is a 2-torsion free semiprime Г-ring , and are orthogonal generalized symmetric higher bi-derivations associated with symmetric higher bi-derivations respectively for all n ϵN.