Abstract :
In this paper , we introduce some results in a prime Γ-ring M with centralizer which is related to the quotient Γ-ring Q of M, and prove our main result; Let M be a prime Γ-ring with char M ≠ 2, U a non-zero right ideal of M and T1 and T2 two non-zero centralizers of M. If T1T2(U) = (0), then there exists two elements p, q of Q such that qΓU = (0) and pΓU = (0).
