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.

引用

页码：1647 / 1654

页数：8

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