Van den Essen's conjecture on the kernel of a derivation having a slice

DOI10.1142/S0219498815400034zbMath1368.13026WikidataQ122962170 ScholiaQ122962170MaRDI QIDQ2947366

Shigeru Kuroda

Publication date: 22 September 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Hilbert's fourteenth problemslicekernel of a derivation

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15)

Cites Work

• Hilbert's fourteenth problem and algebraic extensions
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• The kernel of a derivation
• On Roberts' counterexample to the fourteenth problem of Hilbert
• Triangular monomial derivations on \(k[X_1,X_2,X_3,X_4\) have kernel generated by at most four elements]
• A generalization of Roberts' counterexample to the fourteenth problem of Hilbert
• A condition for finite generation of the kernel of a derivation.
• A counterexample to the fourteenth problem of Hilbert in dimension four
• A counterexample to Hilbert's fourteenth problem in dimension 5
• Fields defined by locally nilpotent derivations and monomials
• G_a actions on c₃ and c₇
• On some properties of elementary derivations in dimension six

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