An example of a simple derivation in two variables

Andrzej Nowicki. "An example of a simple derivation in two variables." Colloquium Mathematicae 113.1 (2008): 25-31. <http://eudml.org/doc/283870>.

@article{AndrzejNowicki2008,
abstract = {Let k be a field of characteristic zero. We prove that the derivation $D = ∂/∂x + (y^s + px)(∂/∂y)$, where s ≥ 2, 0 ≠ p ∈ k, of the polynomial ring k[x,y] is simple.},
author = {Andrzej Nowicki},
journal = {Colloquium Mathematicae},
keywords = {simple derivation; polynomial ring},
language = {eng},
number = {1},
pages = {25-31},
title = {An example of a simple derivation in two variables},
url = {http://eudml.org/doc/283870},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Andrzej Nowicki
TI - An example of a simple derivation in two variables
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 1
SP - 25
EP - 31
AB - Let k be a field of characteristic zero. We prove that the derivation $D = ∂/∂x + (y^s + px)(∂/∂y)$, where s ≥ 2, 0 ≠ p ∈ k, of the polynomial ring k[x,y] is simple.
LA - eng
KW - simple derivation; polynomial ring
UR - http://eudml.org/doc/283870
ER -