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Research Article | Open Access

Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras

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

In this article, we proved that each nonlinear higher anti-derivable mapping on generalized matrix algebras is automatically additive. As for its applications, we find a similar conclusion on triangular algebras, full matrix algebras, unital prime rings with a nontrivial idempotent, unital standard operator algebras and factor von Neumann algebras respectively.

Keywords

nonlinear anti-derivable mappingnonlinear higher anti-derivable mappingnonlinear derivable mappinggeneralized matrix algebras

References

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Electronic Research Archive
Volume 31 Issue 11,
November 2023
Pages 6898-6912
DOI: 10.3934/era.2023349

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Cite this article:
Fei X, Zhang H. Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras. Electronic Research Archive, 2023, 31(11): 6898-6912. https://doi.org/10.3934/era.2023349

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Received: 26 December 2022
Revised: 07 September 2023
Accepted: 11 October 2023
Published: 15 November 2023
©2023 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)