Small non-associative division algebras up to isotopy

We classify small, non-associative division algebras up to isotopy. We reduce the classification problem to an involved case distinction that a computer program can solve.  As a result, we classify algebras with 4, 8, 16, and 9 elements. In particular, we show that non-associative division algebras...

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Bibliographic Details
Date:2018
Main Author: Schwarz, Thomas
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/625
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics