Surjective polynomial maps, and a remark on the Jacobian problem
type: Item
instance of: scholarly article
title: Surjective polynomial maps, and a remark on the Jacobian problem
zbMATH Open document ID: 0714.14013
DOI: 10.1007/BF02568417
author: Ken McKenna
author: Lou van den Dries
published in: Manuscripta Mathematica
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155484
review text: The authors prove the following theorem: ``If R is an affine domain (a domain that is either finitely generated as a ring, or finitely generated as an algebra over a subfield) but not a field, and if f: \(R^ m\to R^ m\) is a surjective polynomial map over R, then f is bijective, and its inverse is also a polynomial map over R.''
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13G05
zbMATH DE Number: 4175130
zbMATH Keywords: surjective polynomial map
reviewed by: K. Lakkis
MaRDI profile type: Publication
cites work: The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
cites work: Nonfinite unramified extensions
cites work: Injective polynomial maps and the Jacobian conjecture
cites work: Metamathematical Considerations On The Relative Irreducibility Of Polynomials
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description: scientific article; zbMATH DE number 4175130