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arXiv · 1601.01508

Analogs of Jacobian conditions for subrings

Piotr Jędrzejewicz·Janusz Zieliński
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Abstract

We present a generalization of the Jacobian Conjecture for m polynomials in n variables: f1,...,fm belonging to k[x1,...,xn], where k is a field of characteristic zero and m=1,...,n. We express the generalized Jacobian condition in terms of irreducible and square-free elements of the subalgebra k[f1,...,fm]. We also discuss obtained properties in a more general setting - for subrings of unique factorization domains.

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Piotr Jędrzejewicz, Janusz Zieliński. 2016-01-07. Analogs of Jacobian conditions for subrings. https://arxiv.org/abs/1601.01508

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