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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…
math.RA2026
Central Products of Cayley-Dickson Loops
Adam Chapman, Ilan Levin
This paper studies the triviality of commutators in central products of Cayley-Dickson loops. Two immediate outcomes of this study are (1) the construction of a sequence of non-com…