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math.CV2024
Resultants of slice regular polynomials in two quaternionic variables
Anna Gori, Giulia Sarfatti, Fabio Vlacci
We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonné determinant.We use this tool to inve…
math.CV2024
A Strong Version of the Hilbert Nullstellensatz for slice regular polynomials in several quaternionic variables
Anna Gori, Giulia Sarfatti, Fabio Vlacci
In this paper we prove a strong version of the Hilbert Nullstellensatz in the ring of slice regular polynomials in several quaternionic variables. Our p…