A solution of the problem of van den Essen and Shpilrain

DOI10.1016/S0022-4049(98)00029-2zbMath0929.13014OpenAlexW1974338174MaRDI QIDQ1295728

Zbigniew Jelonek

Publication date: 2 September 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00029-2

zbMATH Keywords

automorphisms of polynomial ringcoordinate polynomialendomorphism of polynomial ringuniruled affine variety

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (16)

POLYNOMIAL ENDOMORPHISMS PRESERVING OUTER RANK IN TWO VARIABLES ⋮ Irreducibility Properties of Keller Maps ⋮ An approach to the Jacobian conjecture in terms of irreducibility and square-freeness ⋮ The Linear Coordinate Preserving Problem ⋮ On the Russell problem ⋮ A characterization of Keller maps ⋮ Automorphic orbit problem for polynomial algebras ⋮ Test elements, retracts and automorphic orbits. ⋮ A solution of the problem of van den Essen and Shpilrain. II ⋮ Automorphic orbits in free non-associative algebras ⋮ Geometry of the Jelonek set ⋮ Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer ⋮ The set of fixed points of a unipotent group ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Endomorphisms Preserving Coordinates of Polynomial Algebras ⋮ An effective description of the Jelonek set

Cites Work

• Unnamed Item
• Affine smooth varieties with finite group of automorphisms
• Some combinatorial questions about polynomial mappings
• The set of points at which a polynomial map is not proper

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