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 and common factors of slice regular polynomials and we give a kinematic interpretation of our results.
Resultants of slice regular polynomials in two quaternionic variables / A. Gori, G. Sarfatti, F. Vlacci. - In: COMPUTER AIDED GEOMETRIC DESIGN. - ISSN 0167-8396. - 114:(2024 Nov), pp. 102381.1-102381.15. [10.1016/j.cagd.2024.102381]
Resultants of slice regular polynomials in two quaternionic variables
A. Gori
Primo
;
2024
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 and common factors of slice regular polynomials and we give a kinematic interpretation of our results.
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