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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| Date: | 2016 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2016
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | 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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