On the ring of constants for derivations of power series rings in two variables

• Autorzy: Leonid Makar-Limanov , Andrzej Nowicki
• Języki publikacji: EN

Abstrakty

EN

Let k[[x,y]] be the formal power series ring in two variables over a field k of characteristic zero and let d be a nonzero derivation of k[[x,y]]. We prove that if Ker(d) ≠ k then Ker(d) = Ker(δ), where δ is a jacobian derivation of k[[x,y]]. Moreover, Ker(d) is of the form k[[h]] for some h ∈ k[[x,y]].

Kategorie tematyczne

• 12H05: Differential algebra
• 13F25: Formal power series rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 2
• Strony: 195-200

Daty

wydano

2001

Twórcy

autor

Leonid Makar-Limanov

• Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel
• Department of Mathematics, Wayne State University, Detroit, MI 48202, U.S.A.

autor

Andrzej Nowicki

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

Identyfikatory

DOI

10.4064/cm87-2-5