THE LINEARISATION CONJECTURE AND OTHER PROBLEMS OVER NONREDUCED RINGS

DOI10.1081/AGB-120013209zbMath1072.13507OpenAlexW1968214654MaRDI QIDQ4532447

Stefan Maubach

Publication date: 2 July 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120013209

zbMATH Keywords

locally nilpotent derivationcancellation problemreduced ringsnon-reduced ringslinearization conjecture

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (1)

Infinitely generated Derksen and Makar-Limanov invariant

Cites Work

• On the hypersurface \(x+x^2y+z^2+t^3=0\) in \(\mathbb{C}^4\) or a \(\mathbb{C}^3\)-like threefold which is not \(\mathbb{C}^3\)
• On Zariski problem
• Non-linearizable algebraic \(k^*\)-actions on affine spaces
• A counterexample to Hilbert's fourteenth problem in dimension 5
• Derivations having divergence zero on \(R[X,Y\).]

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