Affiliation:
1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Abstract
Let [Formula: see text] be a ∗-ring with the center 𝒵([Formula: see text]) and ℕ be the set of nonnegative integers. In this paper, it is shown that if [Formula: see text] contains a nontrivial self-adjoint idempotent which admits a generalized ∗-Lie higher derivable mapping Δ = {Gn}n∈ℕ associated with a ∗-Lie higher derivable mapping ℒ = {Ln}n∈ℕ, then for any X, Y in [Formula: see text] and for each n in ℕ there exists an element ZX,Y (depending on X and Y) in the center 𝒵([Formula: see text]) such that Gn(X + Y ) = Gn(X) + Gn(Y) + ZX,Y.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory