Hilbert's fourteenth problem and algebraic extensions

DOI10.1016/j.jalgebra.2006.10.008zbMath1116.12003OpenAlexW2003439337WikidataQ112881503 ScholiaQ112881503MaRDI QIDQ875085

Shigeru Kuroda

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.10.008

zbMATH Keywords

Transcendental extensions Hilbert's 14th problem

Mathematics Subject Classification ID

Transcendental field extensions (12F20)

Related Items (2)

Hilbert's fourteenth problem and field modifications ⋮ Van den Essen's conjecture on the kernel of a derivation having a slice

Cites Work

• A counterexample to the fourteenth problem of Hilbert in dimension three
• An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
• On Roberts' counterexample to the fourteenth problem of Hilbert
• A generalization of Roberts' counterexample to the fourteenth problem of Hilbert
• A counterexample to the fourteenth problem of Hilbert in dimension four
• A counterexample to Hilbert's fourteenth problem in dimension 5
• A counterexample to Hilbert's fourteenth problem in dimension six
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