On Schur's theorem and its converses for n-Lie algebras

被引：10

作者：

Saeedi, F. ^{[1
]}

Veisi, B. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2014年 / 62卷 / 09期

关键词：

n-Lie algebra; Lie algebra; derivation; Schur theorem; Baer theorem; isoclinism;

D O I：

10.1080/03081087.2013.809871

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An n-Lie algebra analogue of Schur's theorem and its converse as well as a Lie algebra analogue of Baer's theorem and its converse are presented. Also, it is shown that, an n-Lie algebra with finite dimensional derived subalgebra and finitely generated central factor is isoclinic to some finite dimensional n-Lie algebra.

引用

页码：1139 / 1145

页数：7

共 9 条

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