Monomial Derivations

DOI10.1080/00927872.2010.496750zbMath1250.12004OpenAlexW4248544135MaRDI QIDQ3103901

Jean Moulin Ollagnier, Andrzej Nowicki

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.496750

zbMATH Keywords

derivationfield of constantsDarboux polynomialJouanolou derivation

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Differential algebra (12H05)

Related Items (3)

Monomial Rota-Baxter operators of nonzero weight on \(F[x, y\) coming from averaging operators] ⋮ On generalized cyclotomic derivations ⋮ On mixed Hessians and the Lefschetz properties

Cites Work

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• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• Rational constants of monomial derivations
• Liouvillian integration of the Lotka-Volterra system
• Generic polynomial vector fields are not integrable.
• On the nonexistence of rational first integrals for systems of linear differential equations
• Correction to: Generic polynomial vector fields are not integrable
• Derivations of polynomial algebras without Darboux polynomials
• Factorizable Derivations and Ideals of Relations
• Around Jouanolou non-integrability theorem

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