4 papers
A note on irreducible slice algebraic sets
Anna Gori, Giulia Sarfatti, Fabio Vlacci
In this short note we prove that if is a right radical and quasi prime ideal in the ring of quaternionic slice regular polynomials, then the symmetrization …
On the irreducibility of slice algebraic sets
Anna Gori, Giulia Sarfatti, Fabio Vlacci
In the present paper we investigate the relations between irreducible slice algebraic sets in and quasi prime right ideals of the ring of slice regular polynomials i…
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…
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…