Abstract
Let M be a prime Γ-ring and let d be a derivation of M . If there exists a fixed integer n such that (d(x)α)d(x) = 0 for all x ∈ M and α ∈ Γ, then we prove that d(x) = 0 for all x ∈ M . This result can be extended to semiprime Γ-rings.
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