A note on characterizations of rings of constants with respect to derivations

• Autorzy: Piotr Jędrzejewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12H05: Differential algebra
• 13N05: Modules of differentials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 1
• Strony: 51-53

Daty

wydano

2004

Twórcy

autor

Piotr Jędrzejewicz

• Faculty of Mathematics and Computer Science, N. Copernicus University, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm99-1-5