Infinitely generated Derksen and Makar-Limanov invariant

zbMath1134.13021arXiv0706.4183MaRDI QIDQ2472329

Stefan Maubach

Publication date: 21 February 2008

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

Full work available at URL: https://arxiv.org/abs/0706.4183

zbMATH Keywords

locally nilpotent derivationsaffine algebrasDerksen invariantMakar-Limanov invariant

Mathematics Subject Classification ID

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

Cites Work

• A counterexample to the fourteenth problem of Hilbert in dimension three
• A counterexample to the fourteenth problem of Hilbert in dimension four
• A counterexample to Hilbert's fourteenth problem in dimension 5
• Kernel of locally nilpotent 𝑅-derivations of 𝑅[𝑋,𝑌]
• THE LINEARISATION CONJECTURE AND OTHER PROBLEMS OVER NONREDUCED RINGS
• Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants
• Affine Lines on Affine Surfaces and the Makar–Limanov Invariant

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