Jacobian Conditions for Polynomials over a UFD

Piotr Jedrzejewicz,Lukasz Matysiak,Janusz Zielinski

Colloquium Mathematicum（2026）SCI 4区

Nicolaus Copernicus Univ

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摘要

We investigate the ideal generated by Jacobian determinants. We generalize Freudenburg’s Lemma to the case of r polynomials in n variables over an arbitrary unique factorization domain. This lemma is useful in reformulations of the Jacobian Conjecture.

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关键词

polynomial algebra,Jacobian determinant,separable independence,Jacobian Conjecture

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