On special subalgebras of derivations of Leibniz algebras

被引：1
|
作者：
Shermatova, Z. [1 ]
Khudoyberdiyev, A. [1 ]
机构：
[1] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent, Uzbekistan
来源：
ALGEBRA AND DISCRETE MATHEMATICS | 2022年 / 34卷 / 02期
关键词：
Leibniz algebra; radical; nilradical; inner derivation; central derivation;
D O I：
10.12958/adm1895
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this work is to study the central derivations of Leibniz algebras and investigate the properties of Leibniz algebras by comparing the set of central derivations with the inner derivations. We prove that, the set of all central derivations of a Leibniz algebra with non-trivial center coincide with the set of all inner derivations if and only if the Leibniz algebra is metabelian. In addition, we will show, by examples, that some statements hold for arbitrary Lie algebras, but does not hold for some Leibniz algebras.
引用
收藏
页码：326 / 336
页数：11
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