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

被引：0
|
作者：
Yuan, He [1 ]
Zhang, Qian [1 ]
Gu, Zhendi [1 ]
机构：
[1] Jilin Normal Univ, Coll Math & Comp, Siping 136000, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 11期
关键词：
triangular algebra; generalized Lie n -higher derivation; generalized higher derivation;
D O I：
10.3934/math.20241446
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper was to provide a characterization of nonlinear generalized Lie nhigher 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 {G r } rEN 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 .
引用
收藏
页码：29916 / 29941
页数：26
相关论文
共 50 条
  • [1] ON MULTIPLICATIVE LIE n-HIGHER DERIVATIONS OF TRIANGULAR ALGEBRAS
    Ashraf, Mohammad
    Jabeen, Aisha
    Ansari, Mohammad Afajal
    Akhtar, Mohd Shuaib
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (05): : 995 - 1017
  • [2] Characterizations of Lie Higher Derivations on Triangular Algebras
    Lin, Wenhui
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (01): : 77 - 104
  • [3] Characterizations of Lie Higher Derivations on Triangular Algebras
    Wenhui Lin
    Indian Journal of Pure and Applied Mathematics, 2020, 51 : 77 - 104
  • [4] CHARACTERIZATIONS OF LIE HIGHER AND LIE TRIPLE DERIVATIONS ON TRIANGULAR ALGEBRAS
    Li, Jiankui
    Shen, Qihua
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (02) : 419 - 433
  • [5] Characterizations of additive (generalized) ξ-Lie (α,β) derivations on triangular algebras
    Yang, Wenlei
    Zhu, Jun
    LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (06): : 811 - 830
  • [6] LIE n-HIGHER DERIVATIONS AND LIE n-HIGHER DERIVABLE MAPPINGS
    Ding, Yana
    Li, Jiankui
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 96 (02) : 223 - 232
  • [7] Characterizations of Lie derivations of triangular algebras
    Ji, Peisheng
    Qi, Weiqing
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (05) : 1137 - 1146
  • [8] Generalized Lie n-derivations of triangular algebras
    Benkovic, Dominik
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (12) : 5294 - 5302
  • [9] Characterizations of Lie Triple Higher Derivations of Triangular Algebras by Local Actions
    Ashraf, Mohammad
    Akhtar, Mohd Shuaib
    Jabeen, Aisha
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (04): : 683 - 710
  • [10] Generalized Lie derivations on triangular algebras
    Benkovic, Dominik
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (06) : 1532 - 1544
12345