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arXiv · 2601.07332

On polynomial equations over split-octonions: the arbitrary field case

Artem Lopatin
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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.

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Artem Lopatin. 2026-04-09. On polynomial equations over split-octonions: the arbitrary field case. https://doi.org/10.46298/cm.17309

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