Alternating Roots of Polynomials over Cayley-Dickson Algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866913232614064128 |
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| author | Chapman, Adam Levin, Ilan |
| author_facet | Chapman, Adam Levin, Ilan |
| contents | We introduce the notions of alternating roots of polynomials and alternating polynomials over a Cayley-Dickson algebra, and prove a connection between the alternating roots of a given polynomial and the roots of the corresponding alternating polynomial over the Cayley-Dickson doubling of the algebra. We also include a detailed Octave code for the computation of alternating roots over Hamilton's quaternions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15889 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Alternating Roots of Polynomials over Cayley-Dickson Algebras Chapman, Adam Levin, Ilan Rings and Algebras Number Theory Primary: 17A20, Secondary: 17A45, 17A75, 17D05, 11R52 We introduce the notions of alternating roots of polynomials and alternating polynomials over a Cayley-Dickson algebra, and prove a connection between the alternating roots of a given polynomial and the roots of the corresponding alternating polynomial over the Cayley-Dickson doubling of the algebra. We also include a detailed Octave code for the computation of alternating roots over Hamilton's quaternions. |
| title | Alternating Roots of Polynomials over Cayley-Dickson Algebras |
| topic | Rings and Algebras Number Theory Primary: 17A20, Secondary: 17A45, 17A75, 17D05, 11R52 |
| url | https://arxiv.org/abs/2306.15889 |