Geodesic
An example of a simple derivation in two variables
Andrzej Nowicki1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University 87-100 Toru/n, Poland
Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 25-31.

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

Let $k$ be a field of characteristic zero. We prove that the derivation $D=\partial /\partial x+(y^s+px)(\partial /\partial y)$, where $s\geq 2$, $0\not =p\in k$, of the polynomial ring $k[x,y]$ is simple.
DOI : 10.4064/cm113-1-3
Keywords: field characteristic zero prove derivation partial partial partial partial where geq polynomial ring simple

Andrzej Nowicki 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University 87-100 Toru/n, Poland 
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Andrzej Nowicki. An example of a simple derivation in two variables. Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 25-31. doi : 10.4064/cm113-1-3. http://geodesic.mathdoc.fr/articles/10.4064/cm113-1-3/

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