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

页码：923 / 936

页数：14

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