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

Xiuhai Fei, Haifang Zhang and Wenpeng Zhang

Journal of Mathematics, 2021, vol. 2021, 1-13

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2065425

DOI: 10.1155/2021/2065425

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