On commutative nilalgebras of low dimension
We prove that every commutative non-associative nilalgebra of dimension \(\leq 7\), over a field of characteristic zero or sufficiently large is solvable.
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-619 |
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oai:ojs.admjournal.luguniv.edu.ua:article-6192018-04-04T08:18:32Z On commutative nilalgebras of low dimension Fernandez, Juan C. Gutierrez solvable, commutative, nilalgebra 17A05,17A30 We prove that every commutative non-associative nilalgebra of dimension \(\leq 7\), over a field of characteristic zero or sufficiently large is solvable. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619 Algebra and Discrete Mathematics; Vol 9, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619/pdf Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-04-04T08:18:32Z |
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OJS |
| language |
English |
| topic |
solvable commutative nilalgebra 17A05,17A30 |
| spellingShingle |
solvable commutative nilalgebra 17A05,17A30 Fernandez, Juan C. Gutierrez On commutative nilalgebras of low dimension |
| topic_facet |
solvable commutative nilalgebra 17A05,17A30 |
| format |
Article |
| author |
Fernandez, Juan C. Gutierrez |
| author_facet |
Fernandez, Juan C. Gutierrez |
| author_sort |
Fernandez, Juan C. Gutierrez |
| title |
On commutative nilalgebras of low dimension |
| title_short |
On commutative nilalgebras of low dimension |
| title_full |
On commutative nilalgebras of low dimension |
| title_fullStr |
On commutative nilalgebras of low dimension |
| title_full_unstemmed |
On commutative nilalgebras of low dimension |
| title_sort |
on commutative nilalgebras of low dimension |
| description |
We prove that every commutative non-associative nilalgebra of dimension \(\leq 7\), over a field of characteristic zero or sufficiently large is solvable. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619 |
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AT fernandezjuancgutierrez oncommutativenilalgebrasoflowdimension |
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2025-07-17T10:35:31Z |
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2025-07-17T10:35:31Z |
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