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.
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页码：923 / 936
页数：14
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