Locally Nilpotent Monomial Derivations
Volume 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 119-121
MSC: 13N15, 13M10.
DOI: 10.4064/ba52-2-2
Abstract
We prove that every locally nilpotent monomial ${\textrm k}$-derivation of ${\textrm k}[X_{1}, {\ldotp \ldotp \ldotp },X_{n}]$ is triangular, whenever ${\textrm k}$ is a ring of characteristic zero. A method of testing monomial ${\textrm k}$-derivations for local nilpotency is also presented.
