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Research Article | Open Access

Bi-Lie n-derivations on triangular rings

Xinfeng Liang( ), Lingling Zhao
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, China
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Abstract

The purpose of this article is to prove that every bi-Lie n-derivation of certain triangular rings is the sum of an inner biderivation, an extremal biderivation and an additive central mapping vanishing at ( n − 1 ) t h -commutators for both components, using the notion of maximal left ring of quotients. As a consequence, we characterize the decomposition structure of bi-Lie n-derivations on upper triangular matrix rings.

Keywords

triangular ringsupper triangular matrix ringsextremal biderivationmaximal left ring of quotientsbi-Lie n-derivation
CLC number: 16W25, 15A78, 47L35

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 15411-15426
DOI: 10.3934/math.2023787

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Cite this article:
Liang X, Zhao L. Bi-Lie n-derivations on triangular rings. AIMS Mathematics, 2023, 8(7): 15411-15426. https://doi.org/10.3934/math.2023787

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Received: 10 December 2022
Revised: 23 March 2023
Accepted: 16 April 2023
Published: 15 July 2023
©2023 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)