A counterexample to Hilbert's fourteenth problem in dimension six
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Publication:1972291
DOI10.1007/BF01237178zbMath0993.13009WikidataQ124962620 ScholiaQ124962620MaRDI QIDQ1972291
Publication date: 25 July 2001
Published in: Transformation Groups (Search for Journal in Brave)
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15)
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Cites Work
- Unnamed Item
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- An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
- Automorphisms of polynomial and power series rings
- The kernel of a derivation
- Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)]
- An algorithm to compute the invariant ring of a \(G_ a\)-action on an affine variety
- Note on a counterexample to Hilbert's fourteenth problem given by P. Roberts
- On Roberts' counterexample to the fourteenth problem of Hilbert
- Actions of \(G_a\) on \(\mathbb{A}^3\) defined by homogeneous derivations
- Ga actions on c3 and c7