A Note on Darboux Polynomials of Monomial Derivations

preprint2015arXivOpen access

We study a monomial derivation $d$ proposed by J. Moulin Ollagnier and A. Nowicki in the polynomial ring of four variables, and prove that $d$ has no Darboux polynomials if and only if $d$ has a trivial field of constants.

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A Note on Darboux Polynomials of Monomial Derivations

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