On special subalgebras of derivations of Leibniz algebras-Reference-Cited by-同舟云学术

On special subalgebras of derivations of Leibniz algebras

Published:2022 Issue:2 Volume:34 Page:326-336
ISSN:1726-3255
Container-title:Algebra and Discrete Mathematics
language:
Short-container-title:ADM

Author:

Shermatova Zarina, ,Khudoyberdiyev Abror,

Abstract

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.

Publisher

Luhansk Taras Shevchenko National University

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference19 articles.

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