Small non-associative division algebras up to isotopy

dc.contributor.author	Schwarz, T.
dc.date.accessioned	2019-06-15T16:10:47Z
dc.date.available	2019-06-15T16:10:47Z
dc.date.issued	2010
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:17D99.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154498
dc.description.abstract	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 of size 4, 8, and 9 are isotopes of a Galois field, whereas there are three isotopy classes of division algebras with 16 elements.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Small non-associative division algebras up to isotopy	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA