Leibniz algebras with absolute maximal Lie subalgebras

• Datum: 2020
• Hauptverfasser: Biyogmam, G. R., Tcheka, C.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2020
• Schlagworte: Leibniz algebras; \(s\)-Leibniz algebras; Lie-center; 17A32; 17B55; 18B99
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1165
• Назва журналу: Algebra and Discrete Mathematics

A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater...