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Research Article | Open Access

Characterizations of generalized Lie n-higher derivations on certain triangular algebras

He Yuan( ), Qian Zhang, Zhendi Gu
College of Mathematics and Computer, Jilin Normal University, Siping 136000, China
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Abstract

The aim of this paper was to provide a characterization of nonlinear generalized Lie n-higher derivations for a certain class of triangular algebras. It was shown that, under some mild conditions, each component Gr of a nonlinear generalized Lie n-higher derivation {Gr}r∈N of the triangular algebra U could be expressed as the sum of an additive generalized higher derivation and a nonlinear mapping vanishing on all ( n−1)-th commutators on U.

Keywords

triangular algebrageneralized Lie n-higher derivationgeneralized higher derivationLie n-higher derivationgeneralized Lie n-derivation
CLC number: 16W25, 15A78

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 29916-29941
DOI: 10.3934/math.20241446

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Cite this article:
Yuan H, Zhang Q, Gu Z. Characterizations of generalized Lie n-higher derivations on certain triangular algebras. AIMS Mathematics, 2024, 9(11): 29916-29941. https://doi.org/10.3934/math.20241446

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Received: 22 September 2024
Revised: 11 October 2024
Accepted: 11 October 2024
Published: 22 October 2024
©2024 the Author(s), licensee AIMS Press.

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