Families of \(k\)-derivations on \(k\)-algebras

DOI10.1016/j.jpaa.2004.12.004zbMath1115.13033arXivmath/0602220OpenAlexW2064768299MaRDI QIDQ555956

Philippe Bonnet

Publication date: 10 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0602220

Mathematics Subject Classification ID

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

Related Items (1)

Distributions, first integrals and Legendrian foliations

Cites Work

• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Equations de Pfaff algébriques
• Rings and fields of constants for derivations in characteristic zero
• On the nonexistence of rational first integrals for systems of linear differential equations
• A counterexample to Hilbert's fourteenth problem in dimension 5
• G_a actions on c₃ and c₇
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