On special subalgebras of derivations of Leibniz algebras

• Date: 2023
• Main Authors: Shermatova, Z., Khudoyberdiyev, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: Leibniz algebra; radical; nilradical; inner derivation; central derivation; 17A32; 17A36; 17B30; 17B56
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1895
• Journal Title: Algebra and Discrete Mathematics

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 coinc...