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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Date: | 2018 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2018
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Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619 |
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Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete MathematicsSummary: | 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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