Algebras of constants for some extensions of derivations

DOI10.1016/S0019-3577(02)90007-8zbMath1022.13005OpenAlexW2036463751WikidataQ104405087 ScholiaQ104405087MaRDI QIDQ1866458

Andrzej J. Maciejewski, Andrzej Nowicki

Publication date: 5 June 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(02)90007-8

zbMATH Keywords

rings of constantsextension of derivationderivation on polynomial ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15) Extension theory of commutative rings (13B02)

Cites Work

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• Studies of the Hoyer system.
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Equations de Pfaff algébriques
• The kernel of a derivation
• Polynomial automorphisms and the Jacobian conjecture
• On the nonexistence of constants of derivations: the proof of a theorem of Jouanolou and its development
• Generators of rings of constants for some diagonal derivations in polynomial rings
• On the nonexistence of rational first integrals for systems of linear differential equations
• Sub-Riemannian homogeneous spaces in dimensions 3 and 4
• A counterexample to Hilbert's fourteenth problem in dimension 5
• Lectures on the fourteenth problem of Hilbert
• Recent progress on Hilbert's Fourteenth Problem via triangular derivations
• Around Jouanolou non-integrability theorem

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