Higher Jordan triple derivations on *-type trivial extension algebras

被引：0
|
作者：
Fei, Xiuhai [1 ]
Wang, Zhonghua [2 ,3 ]
Lu, Cuixian [1 ]
Zhang, Haifang [1 ]
机构：
[1] West Yunnan Univ, Sch Math & Phys, Lincang, Peoples R China
[2] Xian Shiyou Univ, Sch Sci, Xian, Peoples R China
[3] Shaanxi Normal Univ, Sch Math & Stat, Xian, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
derivation; anti-derivation; higher derivation; higher anti-derivation; higher Jordan triple derivation; MAPPINGS;
D O I：
10.3934/math.2024338
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 2torsion 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.
引用
收藏
页码：6933 / 6950
页数：18
相关论文
共 50 条
  • [1] JORDAN HIGHER DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS
    Vishki, Hamid Reza Ebrahimi
    Mirzavaziri, Madjid
    Moafian, Fahimeh
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (02): : 247 - 259
  • [2] Jordan-type derivations on trivial extension algebras
    Ashraf, Mohammad
    Akhter, Md Shamim
    Ansari, Mohammad Afajal
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (08)
  • [3] JORDAN GENERALIZED DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS
    Bahmani, Mohammad Ali
    Bennis, Driss
    Vishki, Hamid Reza Ebrahimi
    Attar, Azam Erfanian
    Fahid, Barahim
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (03): : 721 - 739
  • [4] Lie Triple Derivations on Trivial Extension Algebras
    Ansari, Mohammad Afajal
    Ashraf, Mohammad
    Akhtar, Mohd Shuaib
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1763 - 1774
  • [5] Lie Triple Derivations on Trivial Extension Algebras
    Mohammad Afajal Ansari
    Mohammad Ashraf
    Mohd Shuaib Akhtar
    Bulletin of the Iranian Mathematical Society, 2022, 48 : 1763 - 1774
  • [6] Nonlinear Jordan triple derivable mapping on *-type trivial extension algebras
    Fei, Xiuhai
    Lu, Cuixian
    Zhang, Haifang
    ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (03): : 1425 - 1438
  • [7] MULTIPLICATIVE λ-*-JORDAN TRIPLE HIGHER DERIVATIONS ON STANDARD OPERATOR ALGEBRAS
    Khan, Abdul Nadim
    Wani, Bilal Ahmad
    OPERATORS AND MATRICES, 2021, 15 (03): : 889 - 901
  • [8] Jordan derivations on triangular algebras and trivial extensions
    Ahsani, Maryam
    Ramezanpour, Mohammad
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (07)
  • [9] JORDAN GENERALIZED DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS (vol 33, pg 721, 2018)
    Bahmani, Mohammad Ali
    Bennis, Driss
    Vishki, Hamid Reza Ebrahimi
    Attar, Azam Erfanian
    Fahid, Brahim
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (04): : 1123 - 1123
  • [10] Lie generalized derivations on trivial extension algebras
    D. Bennis
    H. R. Ebrahimi Vishki
    B. Fahid
    A. A. Khadem-Maboudi
    A. H. Mokhtari
    Bollettino dell'Unione Matematica Italiana, 2019, 12 : 441 - 452
12345