On polynomial equations over split-octonions: the arbitrary field case
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908963799302144 |
|---|---|
| author | Lopatin, Artem |
| author_facet | Lopatin, Artem |
| contents | Over the split-octonion algebra defined over an arbitrary field, we solve all polynomial equations whose coefficients are scalar except for the constant term. As an application, we determine the square and cubic roots of an octonion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07332 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On polynomial equations over split-octonions: the arbitrary field case Lopatin, Artem Rings and Algebras Over the split-octonion algebra defined over an arbitrary field, we solve all polynomial equations whose coefficients are scalar except for the constant term. As an application, we determine the square and cubic roots of an octonion. |
| title | On polynomial equations over split-octonions: the arbitrary field case |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2601.07332 |