On polynomial equations over split octonions Full article
| Journal |
Communications in Mathematics
ISSN: 1804-1388 , E-ISSN: 2336-1298 |
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| Output data | Year: 2025, Volume: 33, Number: 3, Article number : 8, Pages count : 12 DOI: 10.46298/cm.14879 | ||||
| Tags | Polynomial equations, Octonions, Positive characteristic. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
Working over the split octonions over an algebraically closed field, we solve all polynomial equations in which all the coefficients but the constant term are scalar. As a consequence, we calculate the n-th roots of an octonion.
Cite:
Lopatin A.
, Rybalov A.
On polynomial equations over split octonions
Communications in Mathematics. 2025. V.33. N3. 8 :1-12. DOI: 10.46298/cm.14879 Scopus РИНЦ OpenAlex
On polynomial equations over split octonions
Communications in Mathematics. 2025. V.33. N3. 8 :1-12. DOI: 10.46298/cm.14879 Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 3, 2024 |
| Accepted: | Mar 5, 2025 |
| Published print: | Mar 27, 2025 |
| Published online: | Mar 27, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105001836312 |
| Elibrary: | 81867392 |
| OpenAlex: | W4408885702 |
Citing:
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