February 26, 2024Open Access

Resultants of slice regular polynomials in two quaternionic variables

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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 of slice regular polynomials.

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Gori et al. (Mon,) studied this question.

synapsesocial.com/papers/68e779f3b6db6435876eed29 https://doi.org/https://doi.org/10.48550/arxiv.2403.17019

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