On the algebra of constants of polynomial derivations in two variables

• Autorzy: Janusz Zieliński
• Języki publikacji: EN

Abstrakty

EN

Let d be a k-derivation of k[x,y], where k is a field of characteristic zero. Denote by $\widetilde d$ the unique extension of d to k(x,y). We prove that if ker d ≠ k, then ker $\widetilde d$ = (ker d)_0, where (ker d)_0 is the field of fractions of ker d.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 83
• Numer: 2
• Strony: 267-269

Daty

wydano

2000

otrzymano

1999-10-18

poprawiono

1999-11-03

Twórcy

autor

Janusz Zieliński

• Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Bibliografia

• [1] A. Nowicki, Polynomial Derivations and Their Rings of Constants, N. Copernicus University Press, Toruń, 1994.
• [2] S. Sato, On the ring of constants of a derivation of ℝ[x,y], Rep. Fac. Engrg. Oita Univ. 39 (1999), 13-16.