Forms of higher degree permitting composition
| dc.creator | Pumpluen, S. | |
| dc.date | 2007-05-17 | |
| dc.date.accessioned | 2026-07-07T08:02:02Z | |
| dc.date.available | 2026-07-07T08:02:02Z | |
| dc.description | Nondegenerate forms N of degree d on a unital nonassociative algebra A over a ring R which permit composition, i.e., satisfy N(1)=1 and N(xy)=N(x)N(y) for all x,y in A, are studied. These forms were first classified by Schafer over fields of characteristic 0 or >d. We investigate cubic and quartic nondegenerate forms which permit composition over certain rings and curves. Classes of highly degenerate cubic forms N over fields which permit composition are constructed. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0705.2522 | |
| dc.identifier | http://arxiv.org/abs/0705.2522 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129105 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Primary: 11E76, Secondary: 17A75, 17D05 | |
| dc.title | Forms of higher degree permitting composition | |
| dc.type | text |