Artem Lopatin ; Alexander N. Rybalov
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On polynomial equations over split octonions
cm:14879 -
Communications in Mathematics,
March 27, 2025,
Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
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https://doi.org/10.46298/cm.14879
On polynomial equations over split octonionsArticle
Authors: Artem Lopatin ; Alexander N. Rybalov
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Artem Lopatin;Alexander N. Rybalov
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.