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- W1983420147 abstract "We present several new examples of homogeneous derivations of a polynomial ring k[X]=k[x1,…,xn] over a field k of characteristic zero without Darboux polynomials. Using a modification of a result of Shamsuddin, we produce these examples by induction on the number n of variables, thus more easily than the previously known example multidimensional Jouanolou systems of Żoła̧dek." @default.
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- W1983420147 date "2008-07-01" @default.
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- W1983420147 title "Derivations of polynomial algebras without Darboux polynomials" @default.
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- W1983420147 doi "https://doi.org/10.1016/j.jpaa.2007.10.017" @default.
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