Artem Lopatin ; Alexander N. Rybalov - 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) - https://doi.org/10.46298/cm.14879
On polynomial equations over split octonionsArticle

Authors: 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.

    Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2411.08500

    https://doi.org/10.46298/cm.14879
    Source: arXiv.org:2412.00032
    Volume: Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
    Published on: March 27, 2025
    Accepted on: March 5, 2025
    Submitted on: December 3, 2024
    Keywords: Mathematics - Rings and Algebras, 17A75, 17D05, 20G41
    Licence: arXiv.org - Non-exclusive license to distribute

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