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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Datum:2010
1. Verfasser: Schwarz, T.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2010
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/154498
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Small non-associative division algebras up to isotopy / T. Schwarz // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 103–108. — Бібліогр.: 4 назв. — англ.

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