On some Leibniz algebras, having small dimension

• Date: 2019
• Main Author: Yashchuk, Viktoriia S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: Leibniz algebra; ideal; factor-algebra; Leibniz kernel; finite dimensional Leibniz algebra; nilpotent Leibniz algebra; left (right) center; Frattini subalgebra; 17A32; 17A60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1070
• Journal Title: Algebra and Discrete Mathematics

The first step in the study of all types of algebras is the description of such algebras having small dimensions. The structure of 3-dimensional Leibniz algebras is more complicated than 1 and 2-dimensional cases. In this paper, we consider the structure of Leibniz algebras of dimension 3 over the f...