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/