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

Norihiro Wada. "Some results on the kernels of higher derivations on k[x,y] and k(x,y)." Colloquium Mathematicae 122.2 (2011): 185-189. <http://eudml.org/doc/284164>.

@article{NorihiroWada2011,
abstract = {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.},
author = {Norihiro Wada},
journal = {Colloquium Mathematicae},
keywords = {higher derivations},
language = {eng},
number = {2},
pages = {185-189},
title = {Some results on the kernels of higher derivations on k[x,y] and k(x,y)},
url = {http://eudml.org/doc/284164},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Norihiro Wada
TI - Some results on the kernels of higher derivations on k[x,y] and k(x,y)
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 185
EP - 189
AB - 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.
LA - eng
KW - higher derivations
UR - http://eudml.org/doc/284164
ER -