title: Generalized higher (U,M)-derivations in prime Γ-Rings.
abstract: Let M be a 2-torsion free prime Γ-ring satisfying the condition a α b β c=a β b α c,∀a,b,c∈M and α,β∈Γ, U be an admissible Lie ideal of M and F=(f i ) i∈N be a generalized higher (U,M)-derivation of M with an associated higher (U,M)-derivation D=(d i ) i∈N of M. Then for all n∈N we prove that [Formula: see text]. Mathematics Subject Classification (2010): 13N15; 16W10; 17C50.
authors: Department of Mathematics, Jagannath University, Dhaka, Bangladesh.
authors: Md Mizanor
authors: MM
authors: Rahman
authors: Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh.
authors: Akhil Chandra
authors: AC
authors: Paul
keywords: (U, M)-derivation; Admissible Lie ideal; Generalized (U, M)-derivation; Generalized higher (U, M)-derivation; Lie ideal; Prime Γ-ring