An approach to the Jacobian Conjecture in terms of irreducibility

2016/11/22 by Piotr Jędrzejewicz, Janusz Zieliński, J. Zieliński +2
Mathematics · Physics and Astronomy · #13F15 #13F20 #14R15 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AC #math.AG #msc:13F15 #msc:13F20 #msc:14R15

paper · pdf · doi:10.48550/arxiv.1611.07439

11 pages

arxiv created 2016/11/22 · openalex publication_date 2016/11/22 · arxiv updated 2016/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present some motivations and discuss various aspects of an approach to the Jacobian Conjecture in terms of irreducible elements and square-free elements.

Citations

• Irreducibility properties of Keller maps
• On some factorial properties of subrings

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