Geodesic
Locally Nilpotent Monomial Derivations
Marek Karaś1
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland and Division of Mathematics and Computer Sciences Faculty of Sciences Vrije Universiteit De Boelelaan 1081 A 1081 HV Amsterdam, The Netherlands
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 119-121.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba52-2-2
Keywords: prove every locally nilpotent monomial textrm derivation textrm ldotp ldotp ldotp triangular whenever textrm ring characteristic zero method testing monomial textrm derivations local nilpotency presented

Marek Karaś 1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland and Division of Mathematics and Computer Sciences Faculty of Sciences Vrije Universiteit De Boelelaan 1081 A 1081 HV Amsterdam, The Netherlands 
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Marek Karaś. Locally Nilpotent Monomial Derivations. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 119-121. doi : 10.4064/ba52-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ba52-2-2/

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