Rigid Rings and Makar-Limanov Techniques

DOI10.1080/00927872.2012.695832zbMath1344.14036arXiv1005.4949OpenAlexW1938991536MaRDI QIDQ2855415

Stefan Maubach, Anthony J. Crachiola

Publication date: 25 October 2013

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

Full work available at URL: https://arxiv.org/abs/1005.4949

zbMATH Keywords

locally nilpotent derivationrigid ringadditive group action

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Group actions on affine varieties (14R20)

Related Items (6)

Locally nilpotent derivations of rings with roots adjoined ⋮ Cancellation for Surfaces Revisited ⋮ Generalization of the ABC theorem on locally nilpotent derivations ⋮ On the rigidity of some extensions of domains ⋮ Tame and wild degree functions ⋮ The automorphism group of a rigid affine variety

Cites Work

• An algebraic proof of a cancellation theorem for surfaces
• Polynomial automorphisms and the Jacobian conjecture
• Miyanishi's characterization of the affine 3-space does not hold in higher dimensions
• On locally nilpotent derivations of \(k[X_{1},X_{2},Y/ (\varphi(Y)-X_{1} X_{2})\). -- Appendix: Rationality of certain affine plane curves.]
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants
• Algebraic theory of locally nilpotent derivations
• On the group of automorphisms of a surface \(x^ny= P(z)\)

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