Locally finite polynomial endomorphisms

DOI10.1016/j.jpaa.2007.02.005zbMath1127.14054OpenAlexW2009357565MaRDI QIDQ995606

Stefan Maubach, Jean-Philippe Furter

Publication date: 3 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.02.005

zbMATH Keywords

derivationspolynomial endomorphism

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (12)

Quasi-locally finite polynomial endomorphisms ⋮ A characterization of semisimple plane polynomial automorphisms ⋮ Keller Maps of Low Degree over Finite Fields ⋮ Images of locally finite \(\mathcal{E} \)-derivations of bivariate polynomial algebras ⋮ Maps that are roots of power series ⋮ Invariants and conjugacy classes of triangular polynomial maps ⋮ Constant weighted sums of iterates ⋮ Minimal polynomial of an exponential automorphism of ℂⁿ ⋮ The Nagata automorphism is shifted linearizable ⋮ An effective study of polynomial maps ⋮ Remarks on a Normal Subgroup ofGA_n ⋮ Pascal finite polynomial automorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties)
• Stably tame automorphisms
• Automorphism group of a polynomial ring and algebraic group action on an affine space
• On the degree of iterates of automorphisms of the affine plane
• Polynomial automorphisms and the Jacobian conjecture
• Nonlinearizable operations of semisimple groups on affine spaces.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Injective endomorphisms of varieties and schemes
• The elementary theory of finite fields
• On the jacobian equation J(f, g) = 0 for Polynomials in k[x, y]
• Dynamical properties of plane polynomial automorphisms
• Injective endomorphisms of algebraic and analytic sets
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• Injective Polynomial Maps are Automorphisms
• Quasi-translations and counterexamples to the Homogeneous Dependence Problem
• Über ganze birationale Transformationen der Ebene.
• Injective endomorphisms of algebraic varieties

This page was built for publication: Locally finite polynomial endomorphisms