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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Дата: | 2019 |
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Формат: | Стаття |
Мова: | English |
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Інститут прикладної математики і механіки НАН України
2019
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188439 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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. |
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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 |
_version_ |
1796157348989894656 |