The Leibniz algebras whose subalgebras are ideals

被引:18
|
作者
Kurdachenko, Leonid A. [1 ]
Semko, Nikolai N. [2 ]
Subbotin, Igor Ya. [3 ]
机构
[1] Natl Univ Dnipro, Dept Algebra & Geometry, 72 Gagarin Prospect, UA-49010 Dnipro, Ukraine
[2] Natl State Tax Serv Univ Ukraine, Dept Math, UA-09200 Irpen, Ukraine
[3] Natl Univ, Dept Math & Nat Sci, 5245Pacific Concourse Dr, Los Angeles, CA 90045 USA
来源
OPEN MATHEMATICS | 2017年 / 15卷
关键词
Leibniz algebra; Lie algebra; Cyclic subalgebra; Left center; Right center; Center of a Leibniz algebra; Nilpotent subalgebras; Abelian subalgebras; Extraspecial subalgebras; Bilinear form; HOMOLOGY;
D O I
10.1515/math-2017-0010
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
引用
收藏
页码:92 / 100
页数:9
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