On some Leibniz algebras, having small dimension

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Author: Yashchuk, V.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188439
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On some Leibniz algebras, having small dimension / V.S. Yashchuk // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 292–308. — Бібліогр.: 16 назв. — англ.

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...