Kernels of Higher Derivations inR[x,y]

DOI10.1080/00927871003660200zbMath1235.13023OpenAlexW1966397877MaRDI QIDQ3090087

Norihiro Wada, Hideo Kojima

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003660200

zbMATH Keywords

higher derivationkernel of derivationHCF-ring

Mathematics Subject Classification ID

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

Related Items (6)

On the kernels of some higher derivations in polynomial rings ⋮ Closed polynomials in polynomial rings over integral domains ⋮ A note on the Weitzenböck problem in dimension four ⋮ A note on the kernels of higher derivations ⋮ Unnamed Item ⋮ Notes on kernels of rational higher derivations in integrally closed domains

Cites Work

• An algorithm for computing the kernel of a locally finite iterative higher derivation
• Lectures on curves on rational and unirational surfaces
• Polynomial automorphisms and the Jacobian conjecture
• Lectures on the fourteenth problem of Hilbert
• Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
• On the uniqueness of the coefficient ring in a polynomial ring
• Constants of derivations in polynomial rings over unique factorization domains
• Algebraic theory of locally nilpotent derivations

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