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Research Article | Open Access

Nonlinear Jordan triple derivable mapping on ∗-type trivial extension algebras

Xiuhai Fei, Cuixian Lu( ), Haifang Zhang
School of Mathematics and Physics, West Yunnan University, Lincang, 677099, Yunnan, China
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Abstract

The aim of the paper was to give a description of nonlinear Jordan triple derivable mappings on trivial extension algebras. We proved that every nonlinear Jordan triple derivable mapping on a 2-torsion free ∗-type trivial extension algebra is a sum of an additive derivation and an additive antiderivation. As an application, nonlinear Jordan triple derivable mappings on triangular algebras were characterized.

Keywords

nonlinear Jordan triple derivable mappingadditive Jordan derivationadditive derivationadditive antiderivation

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Electronic Research Archive
Volume 32 Issue 3,
March 2024
Pages 1425-1438
DOI: 10.3934/era.2024066

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Cite this article:
Fei X, Lu C, Zhang H. Nonlinear Jordan triple derivable mapping on ∗-type trivial extension algebras. Electronic Research Archive, 2024, 32(3): 1425-1438. https://doi.org/10.3934/era.2024066

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Received: 03 November 2023
Revised: 03 January 2024
Accepted: 17 January 2024
Published: 05 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)