Lie Triple Derivations on Triangular Matrices

被引：14
|
作者：
Benkovic, Dominik [1 ]
机构：
[1] Univ Maribor, FNM, SLO-2000 Maribor, Slovenia
来源：
ALGEBRA COLLOQUIUM | 2011年 / 18卷
关键词：
triangular matrix algebra; Lie triple derivation; Lie derivation; derivation; JORDAN DERIVATIONS; BANACH-ALGEBRAS; SYMMETRIC AMENABILITY; NEUMANN ALGEBRAS; MAP CONJECTURES; NEST-ALGEBRAS; RINGS; COMMUTATIVITY; MAPPINGS;
D O I：
10.1142/S1005386711000708
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let T(n)(C) be the algebra of all n x n upper triangular matrices over a commutative unital ring C, and let M be a 2-torsion free unital T(n)(C)-bimodule. We show that every Lie triple derivation d : T(n)(C) -> M is a sum of a standard Lie derivation and an antiderivation.
引用
收藏
页码：819 / 826
页数：8
相关论文
共 50 条
  • [21] On the Lie triple derivations
    Asif, Sania
    Wu, Zhixiang
    Munir, Mobeen
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21) : 6084 - 6095
  • [22] Lie triple derivations on nest algebras
    Lu, Fangyan
    MATHEMATISCHE NACHRICHTEN, 2007, 280 (08) : 882 - 887
  • [23] Lie Triple Derivations of CSL Algebras
    Weiyan Yu
    Jianhua Zhang
    International Journal of Theoretical Physics, 2013, 52 : 2118 - 2127
  • [24] Lie Triple Derivations of CSL Algebras
    Yu, Weiyan
    Zhang, Jianhua
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2013, 52 (06) : 2118 - 2127
  • [25] Characterizations of Lie triple derivations on generalized matrix algebras
    Ashraf, Mohammad
    Akhtar, Mohd Shuaib
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (09) : 3651 - 3660
  • [26] TRIPLE DERIVATIONS OF PERFECT LIE ALGEBRAS
    Zhou, Jianhua
    COMMUNICATIONS IN ALGEBRA, 2013, 41 (05) : 1647 - 1654
  • [27] Lie triple derivations of dihedron algebra
    Arshad, Minahal
    Munir, Muhammad Mobeen
    FRONTIERS IN PHYSICS, 2023, 11
  • [28] Lie (Jordan) derivations of arbitrary triangular algebras
    Wang, Yu
    AEQUATIONES MATHEMATICAE, 2019, 93 (06) : 1221 - 1229
  • [29] Lie triple derivations of nest algebras
    Zhang, Jian-Hua
    Wu, Bao-Wei
    Cao, Huai-Xin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 416 (2-3) : 559 - 567
  • [30] Lie (Jordan) derivations of arbitrary triangular algebras
    Yu Wang
    Aequationes mathematicae, 2019, 93 : 1221 - 1229
12345