Geodesic
A note on characterizations of rings of constants with respect to derivations
Piotr Jędrzejewicz1
1 Faculty of Mathematics and Computer Science N. Copernicus University 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 51-53

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

Let $A$ be a commutative algebra without zero divisors over a field $k$. If $A$ is finitely generated over $k$, then there exist well known characterizations of all $k$-subalgebras of $A$ which are rings of constants with respect to $k$-derivations of $A$. We show that these characterizations are not valid in the case when the algebra $A$ is not finitely generated over $k$.
DOI : 10.4064/cm99-1-5
Keywords: commutative algebra without zero divisors field finitely generated there exist known characterizations k subalgebras which rings constants respect k derivations these characterizations valid algebra finitely generated

Piotr Jędrzejewicz 1

1 Faculty of Mathematics and Computer Science N. Copernicus University 87-100 Toruń, Poland 
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Piotr Jędrzejewicz. A note on characterizations of rings of constants
 with respect to derivations. Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 51-53. doi: 10.4064/cm99-1-5

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