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
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.