This paper gives an algorithm for computing the kernel of a locally finite higher derivation on the polynomial ring k[x₁,..., xₙ] up to a given bound.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-3, author = {Yuki Ito and Hideo Kojima}, title = {An algorithm for computing the kernel of a locally finite higher derivation up to a certain degree}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {21-31}, zbl = {1235.13022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-3} }
Yuki Ito; Hideo Kojima. An algorithm for computing the kernel of a locally finite higher derivation up to a certain degree. Colloquium Mathematicae, Tome 122 (2011) pp. 21-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-3/