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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Lugansk National Taras Shevchenko University
2019
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1070 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10702019-07-14T19:54:06Z On some Leibniz algebras, having small dimension Yashchuk, Viktoriia S. Leibniz algebra, ideal, factor-algebra, Leibniz kernel, finite dimensional Leibniz algebra, nilpotent Leibniz algebra, left (right) center, Frattini subalgebra 17A32, 17A60 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. Lugansk National Taras Shevchenko University 2019-07-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1070 Algebra and Discrete Mathematics; Vol 27, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1070/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1070/308 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1070/539 Copyright (c) 2019 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2019-07-14T19:54:06Z |
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OJS |
| language |
English |
| topic |
Leibniz algebra ideal factor-algebra Leibniz kernel finite dimensional Leibniz algebra nilpotent Leibniz algebra left (right) center Frattini subalgebra 17A32 17A60 |
| spellingShingle |
Leibniz algebra ideal factor-algebra Leibniz kernel finite dimensional Leibniz algebra nilpotent Leibniz algebra left (right) center Frattini subalgebra 17A32 17A60 Yashchuk, Viktoriia S. On some Leibniz algebras, having small dimension |
| topic_facet |
Leibniz algebra ideal factor-algebra Leibniz kernel finite dimensional Leibniz algebra nilpotent Leibniz algebra left (right) center Frattini subalgebra 17A32 17A60 |
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Article |
| author |
Yashchuk, Viktoriia S. |
| author_facet |
Yashchuk, Viktoriia S. |
| author_sort |
Yashchuk, Viktoriia 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2019 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1070 |
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2025-07-17T10:35:00Z |
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2025-07-17T10:35:00Z |
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