On some Leibniz algebras, having small dimension

dc.contributor.author	Yashchuk, V.S.
dc.date.accessioned	2023-03-01T15:54:47Z
dc.date.available	2023-03-01T15:54:47Z
dc.date.issued	2019
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 17A32, 17A60
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188439
dc.description.abstract	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 finite fields. In some cases, the structure of the algebra essentially depends on the characteristic of the field, in others on the solvability of specific equations in the field, and so on.	uk_UA
dc.description.sponsorship	The author would like to express her sincere thanks to her scientific advisor Professor L. A. Kurdachenko.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On some Leibniz algebras, having small dimension	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA