F-Subideal and F-Subabideal Subalgebras of Finite Dimensional Lie Algebras

被引：0

作者：

Goudarzi, Leila ^{[1
]}

Riyahi, Zahra ^{[2
]}

Salemkar, Ali Reza ^{[3
]}

机构：

[1] Islamic Azad Univ, Tehran Sci & Res Branch, Dept Math, Tehran, Iran

[2] Univ Sci & Technol Mazandaran, Fac Math Sci, Behshahr, Iran

[3] Shahid Beheshti Univ, Fac Math Sci, Tehran, Iran

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2016年 / 40卷 / 06期

关键词：

Lie algebra; F-covering subalgebra; F-projector; F-subideal; F-subabideal;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the article, we introduce the concepts of F-subideal and F-subabideal sub-algebras of a Lie algebra with respect to a formation F and investigate some properties of such subalgebras. Also, all Lie algebras L every subalgebra of which is F-subideal or F-subabideal in L, and all Lie algebras L for which every subalgebra is F-subabideal in a F-subideal subalgebra of L are characterized.

引用

页码：865 / 874

页数：10

共 12 条

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