Constants and Darboux Polynomials for Tensor Products of Polynomial Algebras with Derivations

DOI10.1081/AGB-120027873zbMath1059.16026OpenAlexW2082390280MaRDI QIDQ4454177

Andrzej Nowicki, Jean Moulin Ollagnier

Publication date: 7 March 2004

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

Full work available at URL: https://doi.org/10.1081/agb-120027873

zbMATH Keywords

Darboux polynomialsdegree functionsconstants of derivationsderivations of polynomial rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

On generalized cyclotomic derivations ⋮ Simple derivations on tensor product of polynomial algebras

Cites Work

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• An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
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• Recent progress on Hilbert's Fourteenth Problem via triangular derivations
• ON SEMISIMPLE DERIVATIONS IN CHARACTERISTIC ZERO
• G_a actions on c₃ and c₇
• Around Jouanolou non-integrability theorem

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