Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
2
1 4 8 |
| gptkbp:example |
gptkb:octonions
quaternions complex numbers real numbers |
| gptkbp:field |
abstract algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
composition algebras
|
| gptkbp:property |
finite-dimensional
alternative algebra flexible algebra multiplication preserves quadratic form not necessarily associative not necessarily commutative possess a quadratic form power-associative unital |
| gptkbp:relatedTo |
gptkb:Cayley–Dickson_construction
gptkb:Hurwitz's_theorem normed division algebras |
| gptkbp:studiedBy |
gptkb:mathematics
|
| gptkbp:bfsParent |
gptkb:Hurwitz's_theorem_(composition_algebras)
|
| gptkbp:bfsLayer |
6
|