Some results on the kernels of higher derivations on k[x,y] and k(x,y)

• Autorzy: Norihiro Wada
• Języki publikacji: EN

Abstrakty

EN

Let k be a field and k[x,y] the polynomial ring in two variables over k. Let D be a higher k-derivation on k[x,y] and D̅ the extension of D on k(x,y). We prove that if the kernel of D is not equal to k, then the kernel of D̅ is equal to the quotient field of the kernel of D.

Kategorie tematyczne

• 13A50: Actions of groups on commutative rings; invariant theory
• 13N15: Derivations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 2
• Strony: 185-189

Daty

wydano

2011

Twórcy

autor

Norihiro Wada

• Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan

Identyfikatory

DOI

10.4064/cm122-2-3