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

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  • Xiuhai Fei
  • Haifang Zhang
  • Wenpeng Zhang

Abstract

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.

Suggested Citation

  • Xiuhai Fei & Haifang Zhang & Wenpeng Zhang, 2021. "Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements," Journal of Mathematics, Hindawi, vol. 2021, pages 1-13, September.
    • Handle: RePEc:hin:jjmath:2065425
    DOI: 10.1155/2021/2065425
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