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Locally Nilpotent Monomial Derivations

Marek Karaś (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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