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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
Main Author: Schwarz, T.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154498
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