Geodesic
Linear derivations with rings of constants generated by linear forms
Piotr J/edrzejewicz1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toru/n, Poland
Colloquium Mathematicum, Tome 113 (2008) no. 2, pp. 279-286.

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

Let $k$ be a field. We describe all linear derivations $d$ of the polynomial algebra $k[x_1,\dots,x_m]$ such that the algebra of constants with respect to $d$ is generated by linear forms: (a) over $k$ in the case of $\mbox{char}\,k=0$, (b) over $k[x_1^p,\dots,x_m^p]$ in the case of $\mbox{char}\,k=p>0$.
DOI : 10.4064/cm113-2-9
Keywords: field describe linear derivations polynomial algebra dots algebra constants respect generated linear forms mbox char dots mbox char

Piotr J/edrzejewicz 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toru/n, Poland 
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Piotr J/edrzejewicz. Linear derivations with rings of constants
 generated by linear forms. Colloquium Mathematicum, Tome 113 (2008) no. 2, pp. 279-286. doi : 10.4064/cm113-2-9. http://geodesic.mathdoc.fr/articles/10.4064/cm113-2-9/

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