paper

Resultants of slice regular polynomials in two quaternionic variables

arXiv:2403.17019

Abstract

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 investigate the existence of common zeros of slice regular polynomials.

arXiv admin note: substantial text overlap with arXiv:2212.02301