\((\mathcal{T}_{\textsf {Lie}})\)-Leibniz algebras and related properties

• Date: 2024
• Main Authors: Tcheka, C., Kamgam Dayo, A., Biyogmam, G. R.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: Leibniz algebras; \(\mathcal{T}_{Lie}\)-Leibniz algebras; \({\textsf {Lie}}\)-stem Leibniz algebras; \({\textsf {Lie}}\)-central derivations; 17A32; 17A36; 17B40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2049
• Journal Title: Algebra and Discrete Mathematics

In this paper, we study properties of Leibniz algebras of class \(\mathcal{T}_{\textsf {Lie}}\), a subclass of both the class \(\mathfrak{D}_{\textsf {Lie}}\) and the class of \({\textsf {Lie}}\)-stem Leibniz algebras. We determine necessary and sufficient conditions under which a non-Lie Leibniz al...