Generalized Derivations of Lie Color Algebras

被引：19
|
作者：
Chen, Liangyun [1 ]
Ma, Yao [1 ]
Ni, Lin [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2013年 / 63卷 / 3-4期
关键词：
Lie Color Algebras; Generalized Derivations; Quasiderivations; Centroids; Quasicentroids; ASSOCIATIVE GRADED ALGEBRAS; DELTA-DERIVATIONS; TERNARY DERIVATIONS; SUPERALGEBRAS;
D O I：
10.1007/s00025-012-0241-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give some basic properties of the generalized derivation algebra GDer(L) of a Lie color algebra L. In particular, we prove that GDer(L) = QDer(L) + QC(L), the sum of the quasiderivation algebra and the quasicentroid. We also prove that QDer(L) can be embedded as derivations in a larger Lie color algebra.
引用
收藏
页码：923 / 936
页数：14
相关论文
共 50 条
  • [21] Lie generalized derivations on trivial extension algebras
    Bennis, D.
    Vishki, H. R. Ebrahimi
    Fahid, B.
    Khadem-Maboudi, A. A.
    Mokhtari, A. H.
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2019, 12 (03): : 441 - 452
  • [22] 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
  • [23] Linearity of (generalized)∗-Lie derivations and theirstructures on∗-algebras
    Fadaee, Behrooz
    Ghahramani, Hoger
    Jing, Wu
    ADVANCES IN OPERATOR THEORY, 2024, 9 (02)
  • [24] Local Lie derivations of generalized matrix algebras
    Liu, Dan
    Zhang, Jianhua
    Song, Mingliang
    AIMS MATHEMATICS, 2023, 8 (03): : 6900 - 6912
  • [25] On local Lie derivations of generalized matrix algebras
    Lei Liu
    Banach Journal of Mathematical Analysis, 2020, 14 : 249 - 268
  • [26] Nonlinear generalized Lie derivations on triangular algebras
    Fei, Xiuhai
    Zhang, Jianhua
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (06): : 1158 - 1170
  • [27] Lie generalized derivations on bound quiver algebras
    Adrabi, Abderrahim
    Bennis, Driss
    Fahid, Brahim
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (05) : 1950 - 1965
  • [28] GENERALIZED LIE DERIVATIONS OF UNITAL ALGEBRAS WITH IDEMPOTENTS
    Benkovic, Dominik
    OPERATORS AND MATRICES, 2018, 12 (02): : 357 - 367
  • [29] A study on generalized matrix algebras having generalized Lie derivations
    Jabeen, A.
    Ahmad, M.
    Abbasi, A.
    ALGEBRA AND DISCRETE MATHEMATICS, 2023, 35 (02): : 111 - 124
  • [30] Multiplicative generalized Lie triple derivations on generalized matrix algebras
    Jabeen, Aisha
    QUAESTIONES MATHEMATICAE, 2021, 44 (02) : 243 - 257
12345