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math.RA2026
Points with Commuting Coordinates over Division Rings
Adam Chapman, Solomon Vishkautsan
We investigate the properties of multivariate polynomials evaluated at points with commuting coordinates over division rings and octonion algebras. Given a division ring , this…
math.RA2026
General Polynomials and Eigenvalues Over Cayley--Dickson Algebras
Adam Chapman, Ilan Levin, Solomon Vishkautsan
In this paper, we provide an explicit method for determining the zero set of monic quadratic general polynomials over Cayley--Dickson algebras with any base field of characteristic…