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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2019 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188439 |
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| 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. |
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Yashchuk, V.S. 2023-03-01T15:54:47Z 2023-03-01T15:54:47Z 2019 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 https://nasplib.isofts.kiev.ua/handle/123456789/188439 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. The author would like to express her sincere thanks to her scientific advisor Professor L. A. Kurdachenko. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On some Leibniz algebras, having small dimension Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
On some Leibniz algebras, having small dimension |
| spellingShingle |
On some Leibniz algebras, having small dimension Yashchuk, V.S. |
| 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 |
| author |
Yashchuk, V.S. |
| author_facet |
Yashchuk, V.S. |
| publishDate |
2019 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT yashchukvs onsomeleibnizalgebrashavingsmalldimension |
| first_indexed |
2025-12-07T17:47:25Z |
| last_indexed |
2025-12-07T17:47:25Z |
| _version_ |
1850872583359037440 |