A counterexample to the fourteenth problem of Hilbert in dimension four

DOI10.1016/j.jalgebra.2004.05.002zbMath1099.13035OpenAlexW2091509672WikidataQ112881487 ScholiaQ112881487MaRDI QIDQ1887580

Shigeru Kuroda

Publication date: 22 November 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.002

zbMATH Keywords

Hilbert's fourteenth problemtranscendence degreerational function field

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (8)

On images of locally finite derivations and \(\mathcal{E}\)-derivations ⋮ Hilbert's fourteenth problem and algebraic extensions ⋮ Hilbert's fourteenth problem and field modifications ⋮ Van den Essen's conjecture on the kernel of a derivation having a slice ⋮ Infinitely generated Derksen and Makar-Limanov invariant ⋮ A counterexample to the fourteenth problem of Hilbert in dimension three ⋮ A linear counterexample to the Fourteenth Problem of Hilbert in dimension eleven ⋮ Fields defined by locally nilpotent derivations and monomials

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