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math.RA2024
On the geometry of zero sets of central quaternionic polynomials II
Gil Alon, Adam Chapman, Elad Paran
Following the work of the first and last authors [2], we further analyze the structure of a zero set of a left ideal in the ring of central polynomials over the quaternion algebra…
math.RA2024
On the geometry of zero sets of central quaternionic polynomials
Gil Alon, Elad Paran
Let R be the ring of polynomials in n central variables over the real quaternion algebra H, and let I be a left ideal in R. We prove that if a polynomial p in R vanishes at all the…