An algorithm to compute the kernel of a derivation up to a certain degree
Tom 76 / 2001
Annales Polonici Mathematici 76 (2001), 147-158 MSC: 13A50, 13E15. DOI: 10.4064/ap76-1-15
An algorithm is described which computes generators of the kernel of derivations on $k[X_1,\dots ,X_n]$ up to a previously given bound. For $w$-homogeneous derivations it is shown that if the algorithm computes a generating set for the kernel then this set is minimal.