A simple proof of Nowicki's conjecture on the kernel of an elementary derivation

DOI10.3836/tjm/1249648420zbMath1220.13019OpenAlexW2010318992WikidataQ123130769 ScholiaQ123130769MaRDI QIDQ841452

Shigeru Kuroda

Publication date: 16 September 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1249648420

zbMATH Keywords

locally nilpotent derivationskernel of derivation

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Group actions on affine varieties (14R20)

Related Items (6)

On Nowicki's conjecture: a survey and a new result ⋮ Weitzenböck derivations of free metabelian Lie algebras ⋮ The Nowicki conjecture for free metabelian Lie algebras ⋮ Another proof of the Nowicki conjecture ⋮ Generalized Nowicki conjecture ⋮ The Nowicki conjecture for relatively free algebras

Cites Work

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• An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
• A Gröbner basis approach to solve a conjecture of Nowicki
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• On Roberts' counterexample to the fourteenth problem of Hilbert
• Polynomial automorphisms and the Jacobian conjecture
• A generalization of Roberts' counterexample to the fourteenth problem of Hilbert
• THE CONJECTURE OF NOWICKI ON WEITZENBÖCK DERIVATIONS OF POLYNOMIAL ALGEBRAS
• On some properties of elementary derivations in dimension six

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