Une généralisation du critère de Boulier -- Buchberger pour le calcul des ensembles caractéristiques d'idéaux différentiels
arXiv:2107.01909 · doi:10.5802/crmath.295
Abstract
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.
12 pages. In French. With an extended abstract in English