2016/06/14 by Vered Moskowicz, Moskowicz, Vered
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Differential Equations and Dynamical Systems #Commutative Algebra (math.AC) #FOS: Mathematics #Ubiquitin and proteasome pathways
paper · pdf · doi:10.48550/arxiv.1606.04531
openalex publication_date 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The two-dimensional Jacobian Conjecture says that a ℂ-algebra endomorphism F:ℂ[x,y] → ℂ[x,y] that has an invertible Jacobian is an automorphism. We show that if a ℂ-algebra endomorphism F:ℂ[x,y] → ℂ[x,y] has an invertible Jacobian and if v ∈ ℂ[F(x),F(y),x] is a product of prime elements of ℂ[F(x),F(y),x], then F is an automorphism, where v is such that y = u/v, where u ∈ ℂ[F(x),F(y),x].