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Une généralisation du critère de Boulier -- Buchberger pour le calcul des ensembles caractéristiques d'idéaux différentiels

We generalize the analog of Buchberger's first criterion, stated by Boulier et al., for detecting useless S-polynomials reductions in the computation of characteristic sets of differential ideals. The original version assumes linear polynomials; this result is here extended to a product of linear differential polynomials depending of the same arbitrary differential polynomial.

preprint2022arXivOpen access
Amir HashemiFrançois Ollivier
math.APmath.ACmath.AG
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Amir HashemiFrançois Ollivier

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