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 on the same arbitrary differential polynomial.