An algorithm for computing the kernel of a locally finite iterative higher derivation

DOI10.1016/j.jpaa.2008.03.006zbMath1157.13004OpenAlexW2043375403MaRDI QIDQ932298

Ryuji Tanimoto

Publication date: 10 July 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.03.006

zbMATH Keywords

derivations

Mathematics Subject Classification ID

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

Related Items (11)

Computing quotients by connected solvable groups ⋮ Rees algebras of additive group actions ⋮ On the finite generation of additive group invariants in positive characteristic ⋮ Exponential matrices ⋮ Fundamental representations of \(\mathbb{G}_a\) into \(\mathrm{SL}(3, k)\) in positive characteristic ⋮ Finite separating sets and quasi-affine quotients ⋮ On the kernels of some higher derivations in polynomial rings ⋮ A note on the Weitzenböck problem in dimension four ⋮ A note on the kernels of higher derivations ⋮ Exponential Matrices of Size Five-By-Five ⋮ Kernels of Higher Derivations inR[x,y]

Cites Work

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• On the polynomiality of invariant rings for codimension one \(\mathbb {G}_a\)-modules
• Lectures on curves on rational and unirational surfaces
• Algebraic and algebro-geometric interpretations of Weitzenböck's problem
• Polynomial automorphisms and the Jacobian conjecture
• Kernels of derivations in positive characteristic
• Invariant Theory for Unipotent Groups and an Algorithm for Computing Invariants
• On Weitzenbock's Theorem in Positive Characteristic

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