On solvable \(Z_3\)-graded alternative algebras
Let \(A=A_0\oplus A_1\oplus A_2\) be an alternative \(Z_3\)-gradedalgebra. The main result of the paper is the following: if \(A_0\) issolvable and the characteristic of the ground field not equal 2,3and 5, then \(A\) is solvable.
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2016
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543029961162752 |
|---|---|
| author | Goncharov, Maxim |
| author_facet | Goncharov, Maxim |
| author_sort | Goncharov, Maxim |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2016-01-12T07:40:37Z |
| description | Let \(A=A_0\oplus A_1\oplus A_2\) be an alternative \(Z_3\)-gradedalgebra. The main result of the paper is the following: if \(A_0\) issolvable and the characteristic of the ground field not equal 2,3and 5, then \(A\) is solvable. |
| first_indexed | 2025-12-02T15:38:56Z |
| format | Article |
| id | admjournalluguniveduua-article-144 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:56Z |
| publishDate | 2016 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-1442016-01-12T07:40:37Z On solvable \(Z_3\)-graded alternative algebras Goncharov, Maxim alternative algebra, solvable algebra, $Z_3$-graded Let \(A=A_0\oplus A_1\oplus A_2\) be an alternative \(Z_3\)-gradedalgebra. The main result of the paper is the following: if \(A_0\) issolvable and the characteristic of the ground field not equal 2,3and 5, then \(A\) is solvable. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144/42 Copyright (c) 2016 Algebra and Discrete Mathematics |
| spellingShingle | alternative algebra solvable algebra $Z_3$-graded Goncharov, Maxim On solvable \(Z_3\)-graded alternative algebras |
| title | On solvable \(Z_3\)-graded alternative algebras |
| title_full | On solvable \(Z_3\)-graded alternative algebras |
| title_fullStr | On solvable \(Z_3\)-graded alternative algebras |
| title_full_unstemmed | On solvable \(Z_3\)-graded alternative algebras |
| title_short | On solvable \(Z_3\)-graded alternative algebras |
| title_sort | on solvable \(z_3\)-graded alternative algebras |
| topic | alternative algebra solvable algebra $Z_3$-graded |
| topic_facet | alternative algebra solvable algebra $Z_3$-graded |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144 |
| work_keys_str_mv | AT goncharovmaxim onsolvablez3gradedalternativealgebras |