Linear derivations with rings of constants generated by linear forms

• Autorzy: Piotr Jędrzejewicz
• Języki publikacji: EN

Abstrakty

EN

Let k be a field. We describe all linear derivations d of the polynomial algebra k[x₁,...,xₘ] such that the algebra of constants with respect to d is generated by linear forms: (a) over k in the case of char k = 0, (b) over $k[x₁^{p},...,xₘ^{p}]$ in the case of char k = p > 0.

Kategorie tematyczne

• 12H05: Differential algebra
• 13N15: Derivations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 113
• Numer: 2
• Strony: 279-286

Daty

wydano

2008

Twórcy

autor

Piotr Jędrzejewicz

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm113-2-9