On the algebra of constants of polynomial derivations in two variables

Zieliński, Janusz. "On the algebra of constants of polynomial derivations in two variables." Colloquium Mathematicae 83.2 (2000): 267-269. <http://eudml.org/doc/210785>.

@article{Zieliński2000,
abstract = {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.},
author = {Zieliński, Janusz},
journal = {Colloquium Mathematicae},
language = {eng},
number = {2},
pages = {267-269},
title = {On the algebra of constants of polynomial derivations in two variables},
url = {http://eudml.org/doc/210785},
volume = {83},
year = {2000},
}

TY - JOUR
AU - Zieliński, Janusz
TI - On the algebra of constants of polynomial derivations in two variables
JO - Colloquium Mathematicae
PY - 2000
VL - 83
IS - 2
SP - 267
EP - 269
AB - 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.
LA - eng
UR - http://eudml.org/doc/210785
ER -