We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonn ́e determinant. We use this tool to investigate the existence of common zeros and common factors of slice regular polynomials and give a kinematic interpretation of our results.
Resultants of slice regular polynomials in two quaternionic variables
Fabio Vlacci
In corso di stampa
Abstract
We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonn ́e determinant. We use this tool to investigate the existence of common zeros and common factors of slice regular polynomials and give a kinematic interpretation of our results.File in questo prodotto:
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