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Article
Publication date: 7 September 2019

Driss Aiat Hadj Ahmed

Let �…

374

Abstract

Let be a field of zero characteristic, let Nn() denote the algebra of n×n strictly upper triangular matrices with entries in , and let f:Nn()Nn() be a nonlinear Jordan centralizer of Nn(),that is, a map satisfying that f(XY+YX)=Xf(Y)+f(Y)X, for all X,YNn(). We prove that f(X)=λX+η(X) where λ and η is a map from Nn() into its center 𝒵(Nn()) satisfying that η(XY+YX)=0 for every X,Yin Nn(F).

Details

Arab Journal of Mathematical Sciences, vol. 26 no. 1/2
Type: Research Article
ISSN: 1319-5166

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