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On some Leibniz algebras, having small dimension

On some Leibniz algebras, having small dimension

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...

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Main Author: Yashchuk, V.S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188439
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spelling irk-123456789-1884392023-03-02T01:27:38Z On some Leibniz algebras, having small dimension Yashchuk, V.S. 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. 2019 Article 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. 1726-3255 2010 MSC: 17A32, 17A60 http://dspace.nbuv.gov.ua/handle/123456789/188439 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Yashchuk, V.S.
spellingShingle Yashchuk, V.S.
On some Leibniz algebras, having small dimension
Algebra and Discrete Mathematics
author_facet Yashchuk, V.S.
author_sort Yashchuk, V.S.
title On some Leibniz algebras, having small dimension
title_short On some Leibniz algebras, having small dimension
title_full On some Leibniz algebras, having small dimension
title_fullStr On some Leibniz algebras, having small dimension
title_full_unstemmed On some Leibniz algebras, having small dimension
title_sort on some leibniz algebras, having small dimension
publisher Інститут прикладної математики і механіки НАН України
publishDate 2019
url http://dspace.nbuv.gov.ua/handle/123456789/188439
citation_txt 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.
series Algebra and Discrete Mathematics
work_keys_str_mv AT yashchukvs onsomeleibnizalgebrashavingsmalldimension
first_indexed 2023-10-18T23:08:22Z
last_indexed 2023-10-18T23:08:22Z
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