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 (249.6 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

Higher Jordan triple derivations on *-type trivial extension algebras

Xiuhai Fei1, Zhonghua Wang2,3, Cuixian Lu1( ), Haifang Zhang1
School of Mathematics and Physics, West Yunnan University, Lincang, China
School of Science, Xi'an Shiyou University, Xi'an, China
School of Mathematics and Statistics, Shaanxi Normal University, Xi'an, China
Show Author Information

Abstract

In this paper, we investigated the problem of describing the form of higher Jordan triple derivations on trivial extension algebras. We show that every higher Jordan triple derivation on a 2-torsion free *-type trivial extension algebra is a sum of a higher derivation and a higher anti-derivation. As for its applications, higher Jordan triple derivations on triangular algebras are characterized.

Keywords

derivationanti-derivationhigher derivationhigher anti-derivationhigher Jordan triple derivation
CLC number: 16W25, 46L10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 6933-6950
DOI: 10.3934/math.2024338

{{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:
Fei X, Wang Z, Lu C, et al. Higher Jordan triple derivations on *-type trivial extension algebras. AIMS Mathematics, 2024, 9(3): 6933-6950. https://doi.org/10.3934/math.2024338

42

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 15 November 2023
Revised: 27 January 2024
Accepted: 04 February 2024
Published: 15 March 2024
Copyright © 2024 by AIMS Mathematics

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/4.0/