AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (238.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Characterizing m-Jordan n-derivations of triangular rings

He Yuan1( ), Chuqi Jia1, Lili Ma2
College of Mathematics and Computer, Jilin Normal University, Siping, Jilin 136000, China
College of Science, Qiqihar University, Qiqihar, Heilongjiang 161006, China
Show Author Information

Abstract

This paper explores the relationship between m-derivations and Jordan n-derivations, introducing the concept of m-Jordan n-derivations on triangular rings. By employing the maximal left ring of quotients, we first conduct a detailed analysis of 3-Jordan n-derivations. Subsequently, using an inductive approach, we prove that under specific hypotheses, an m-Jordan n-derivation must be an extremal m-derivation. Finally, we apply the results we obtained to upper triangular matrix rings.

Keywords

triangular ring3-Jordan n-derivationm-Jordan n-derivationextremal m-derivationmaximal left ring of quotients
CLC number: 15A78, 16W25

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 1,
January 2026
Pages 2890-2906
DOI: 10.3934/math.2026115

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Yuan H, Jia C, Ma L. Characterizing m-Jordan n-derivations of triangular rings. AIMS Mathematics, 2026, 11(1): 2890-2906. https://doi.org/10.3934/math.2026115

178

Views

4

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 09 November 2025
Revised: 14 January 2026
Accepted: 26 January 2026
Published: 29 January 2026
©2026 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)