Journal of Mathematics (Jan 2021)

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

  • Xiuhai Fei,
  • Haifang Zhang

DOI
https://doi.org/10.1155/2021/2065425
Journal volume & issue
Vol. 2021

Abstract

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The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square-zero elements is a sum of an additive derivation δ and an additive antiderivation f. Moreover, δ and f are uniquely determined.