SOLVABLE COMPLEMENTED LIE ALGEBRAS

被引：0
|
作者：
Towers, David A. [1 ]
机构：
[1] Univ Lancaster, Dept Math & Stat, Lancaster LA1 4YF, England
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 11期
关键词：
Lie algebras; complemented; solvable; Frattini ideal; prefrattini sub-algebra; residual; Lie A-algebra; A-ALGEBRAS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
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页码：3823 / 3830
页数：8
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