On some Leibniz algebras, having small dimension

dc.contributor.author	Yashchuk, V . S .
dc.date.accessioned	2019-12-03T09:54:44Z
dc.date.available	2019-12-03T09:54:44Z
dc.date.issued	2019
dc.identifier.uri	http://hdl.handle.net/123456789/4374
dc.description	Yashchuk V. S.On some Leibniz algebras,having small dimension / V. S. Yashchuk // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 2. - Рp. 292-308	uk_UA
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.language.iso	other	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	Leibniz algebra	uk_UA
dc.subject	ideal	uk_UA
dc.subject	factor-algebra,	uk_UA
dc.subject	Leibniz kernel,finite dimensional Leibniz algebra	uk_UA
dc.subject	nilpotent Leibniz algebra	uk_UA
dc.subject	left (right) center	uk_UA
dc.subject	Frattini subalgebra	uk_UA
dc.title	On some Leibniz algebras, having small dimension	uk_UA
dc.type	Article	uk_UA