A characterization of Keller maps

DOI10.1016/j.jpaa.2012.06.015zbMath1267.14077arXiv1109.2113OpenAlexW2016394444MaRDI QIDQ1946092

Piotr Jȩdrzejewicz

Publication date: 17 April 2013

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

Full work available at URL: https://arxiv.org/abs/1109.2113

zbMATH Keywords

Jacobian conjecturederivationpolynomial algebra

Mathematics Subject Classification ID

Jacobian problem (14R15) Derivations and commutative rings (13N15)

Related Items (6)

Irreducibility Properties of Keller Maps ⋮ A characterization of \(p\)-bases of rings of constants ⋮ An approach to the Jacobian conjecture in terms of irreducibility and square-freeness ⋮ On properties of square-free elements in commutative cancellative monoids ⋮ Analogs of Jacobian conditions for subrings ⋮ An ideal-theoretic approach to Keller maps

Cites Work

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• A solution of the problem of van den Essen and Shpilrain
• Rings and fields of constants for derivations in characteristic zero
• Some combinatorial questions about polynomial mappings
• Polynomial automorphisms and the Jacobian conjecture
• Generalizations of a lemma of Freudenburg
• A Characterization of One-Element p-Bases of Rings of Constants
• A note on rings of constants of derivations in integral domains
• Jacobian Conditions Forp-Bases
• A note on the kernel of a locally nilpotent derivation

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