Small non-associative division algebras up to isotopy
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Small non-associative division algebras up to isotopy
|
|
| Creator |
Schwarz, T.
|
|
| Description |
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.
|
|
| Date |
2019-06-15T16:10:47Z
2019-06-15T16:10:47Z 2010 |
|
| Type |
Article
|
|
| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification:17D99. http://dspace.nbuv.gov.ua/handle/123456789/154498 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|