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Generalized Lie derivations of unital algebras with idempotents

Generalized Lie derivations of unital algebras with idempotents

Let A be a unital algebra with a nontrivial idempotent e over a unital commutative ring R .We show that under suitable assumptions every generalized Lie n -derivation, where λ ∈ Z(A ) and Δ is a Lie n -derivation of A .As an application, we give a description of …