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On linear equations over split-octonions

math.RA · 2024-11-13 · conditional · novelty 7.0

For split-octonions over algebraically closed fields, every linear monomial equation has a solution set that is empty, a singleton, an affine subspace of dimension 4-7, or the whole space.

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  • On linear equations over split-octonions math.RA · 2024-11-13 · conditional · none · ref 6

    For split-octonions over algebraically closed fields, every linear monomial equation has a solution set that is empty, a singleton, an affine subspace of dimension 4-7, or the whole space.