Rational constants of monomial derivations

DOI10.1016/j.jalgebra.2006.02.034zbMath1119.13021OpenAlexW2090630989MaRDI QIDQ852680

Janusz Zieliński, Andrzej Nowicki

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.02.034

zbMATH Keywords

derivationfield of constantsfactorisable derivationLotka-Volterra derivationDarboux polynomialJouanolou derivation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Derivations and commutative rings (13N15) Derivations, actions of Lie algebras (16W25) Differential algebra (12H05)

Related Items (9)

Border bases and kernels of homomorphisms and of derivations ⋮ Monomial Rota-Baxter operators of nonzero weight on \(F[x, y\) coming from averaging operators] ⋮ Rings of constants of four-variable Lotka-Volterra systems ⋮ The five-variable Volterra system ⋮ Closed polynomials and their applications for computations of kernels of monomial derivations ⋮ Derivations of polynomial algebras without Darboux polynomials ⋮ Monomial Derivations ⋮ Rings of constants of generic 4D Lotka-Volterra systems ⋮ Factorizable Derivations and Ideals of Relations

Cites Work

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• On the nonexistence of rational first integrals for systems of linear differential equations
• Multi-dimensional Jouanolou system
• On algebraic solutions of algebraic Pfaff equations
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