Nonlinear Lie n Centralizers on Triangular Algebras
By using the identity theory,this paper proves that under certain assumptions,if ø is a nonlinear Lie n centralizer on a triangular algebra T,then there is ø(x)=d(x)+τ(x)for any x ∈ T,where d:T → T is a additive centralizer andτ:T→Z(T)satisfies τ(pn(x1,x2,...,xn))=0,for all x1,x2,...,xn ∈T.The application of this result is presented at the end of this paper.
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