On polynomial equations over split octonions
Rings and Algebras
2025-04-02 v4
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
@article{arxiv.2412.00032,
title = {On polynomial equations over split octonions},
author = {Artem Lopatin and Alexander N. Rybalov},
journal= {arXiv preprint arXiv:2412.00032},
year = {2025}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:2411.08500