TRIPLE DERIVATIONS OF PERFECT LIE ALGEBRAS

被引：15
|
作者：
Zhou, Jianhua [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Derivation; Lie algebra; Triple derivation; RINGS;
D O I：
10.1080/00927872.2011.649224
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the triple derivation algebras of Lie algebras. It is proved that, if the base ring contains 1/2, L is a perfect Lie algebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der(L) is an inner derivation.
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页码：1647 / 1654
页数：8
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