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.

引用

页码：3823 / 3830

页数：8

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