Generalized derivations, quasiderivations and centroids of Bihom-Lie triple system

被引：0
|
作者：
Ben Hassine, Abdelkader [1 ,2 ]
机构：
[1] Univ Bisha, Fac Sci & Arts Belqarn, Dept Math, POB 60, Sabt Al Alaya 61985, Saudi Arabia
[2] Univ Sfax, Fac Sci, BP 1171, Sfax 3000, Tunisia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 06期
关键词：
Bihom-Lie triple systems; generalized derivations; quasi derivations; centroids;
D O I：
10.1142/S179355712250111X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give some properties of the generalized derivation algebra GDer(T) of a Bihom-Lie triple system T. In particular, we prove that GDer(T) = QDer(T) + QC(T), the sum of the quasiderivation algebra and the quasicentroid. We also prove that QDer(T) can be embedded as derivations in a larger Bihom-Lie triple system.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Representations of Bihom-Lie Algebras
    Cheng, Yongsheng
    Qi, Huange
    ALGEBRA COLLOQUIUM, 2022, 29 (01) : 125 - 142
  • [2] Representations of Bihom-Lie superalgebras
    Li, Juan
    Chen, Liangyun
    Cheng, Yongsheng
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (02): : 299 - 326
  • [3] 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
    Ben Hassine, Abdelkader
    Mabrouk, Sami
    Ncib, Othmen
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (01): : 101 - 121
  • [4] On split regular BiHom-Lie superalgebras
    Zhang, Jian
    Chen, Liangyun
    Zhang, Chiping
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 128 : 38 - 47
  • [5] The structure of split regular BiHom-Lie algebras
    Calderon, Antonio J.
    Sanchez, Jose M.
    JOURNAL OF GEOMETRY AND PHYSICS, 2016, 110 : 296 - 305
  • [6] BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
    Graziani, Giacomo
    Makhlouf, Abdenacer
    Menini, Claudia
    Panaite, Florin
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2015, 11
  • [7] Bihom-Nijienhuis operators and T*-extensions of Bihom-Lie superalgebras
    Li, Juan
    Chen, Liangyun
    Sun, Bing
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 48 (03): : 785 - 799
  • [8] On split involutive regular BiHom-Lie superalgebras
    Guo, Shuangjian
    Zhang, Xiaohui
    Wang, Shengxiang
    OPEN MATHEMATICS, 2020, 18 : 476 - 485
  • [9] Generalized Lie triple derivations
    Li, Hailing
    Wang, Ying
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (03): : 237 - 247
  • [10] BiHom-Lie Superalgebra Structures and BiHom-Yang-Baxter Equations
    Wang, Shengxiang
    Guo, Shuangjian
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2020, 30 (03)
12345