On polynomial equations over split-octonions: the arbitrary field case
Rings and Algebras
2026-04-15 v4
Abstract
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.
Cite
@article{arxiv.2601.07332,
title = {On polynomial equations over split-octonions: the arbitrary field case},
author = {Artem Lopatin},
journal= {arXiv preprint arXiv:2601.07332},
year = {2026}
}