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arXiv · 2412.00032

On polynomial equations over split octonions

Artem Lopatin·Alexander N. Rybalov
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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.

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Artem Lopatin, Alexander N. Rybalov. 2025-03-26. On polynomial equations over split octonions. https://doi.org/10.46298/cm.14879

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