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- W4287907890 abstract "We define an analogue of the Fox derivatives for differential polynomial algebras and give a criterion for differential algebraic dependence of a finite system of elements. In particular, we prove that differential algebraic dependence of a finite set of elements of a differential polynomial algebra over a constructive differential field $k$ of characteristic zero is algorithmically recognizable. Using a representation of free Novikov algebras by differential polynomials we also give a criterion of Novikov dependence of a finite system of elements of free Novikov algebras." @default.
- W4287907890 created "2022-07-26" @default.
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- W4287907890 date "2020-01-02" @default.
- W4287907890 modified "2023-09-27" @default.
- W4287907890 title "Differential algebraic dependence and Novikov dependence" @default.
- W4287907890 doi "https://doi.org/10.48550/arxiv.2001.00383" @default.
- W4287907890 hasPublicationYear "2020" @default.
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