The commuting derivations conjecture
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Publication:1869190
DOI10.1016/S0022-4049(02)00198-6zbMath1052.13012OpenAlexW2048452447WikidataQ123246387 ScholiaQ123246387MaRDI QIDQ1869190
Publication date: 9 April 2003
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00198-6
Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)
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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 \(\mathbb{C}^3\)
- Lectures on curves on rational and unirational surfaces
- On Zariski problem
- Cancellation of variables of the form \(bT^n-a\)
- Polynomial automorphisms and the Jacobian conjecture
- Triangular derivations related to problems on affine 𝑛-space
- On Linear Planes
- ℂ*-actions on ℂ³ are linearizable
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