We prove that every locally nilpotent monomial k-derivation of k[X₁,...,Xₙ] is triangular, whenever k is a ring of characteristic zero. A method of testing monomial k-derivations for local nilpotency is also presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-2, author = {Marek Kara\'s}, title = {Locally Nilpotent Monomial Derivations}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {119-121}, zbl = {1096.13527}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-2} }
Marek Karaś. Locally Nilpotent Monomial Derivations. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 119-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-2/