Jacobian conditions for polynomials over a UFD
Colloquium Mathematicum
MSC: Primary 13F15; Secondary 13F20
DOI: 10.4064/cm9763-3-2026
Published online: 18 May 2026
Abstract
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.
