On rings of constants of derivations in two variables in positive characteristic

Piotr Jędrzejewicz. "On rings of constants of derivations in two variables in positive characteristic." Colloquium Mathematicae 106.1 (2006): 109-117. <http://eudml.org/doc/284099>.

@article{PiotrJędrzejewicz2006,
abstract = {Let k be a field of chracteristic p > 0. We describe all derivations of the polynomial algebra k[x,y], homogeneous with respect to a given weight vector, in particular all monomial derivations, with the ring of constants of the form $k[x^\{p\},y^\{p\},f]$, where $f ∈ k[x,y]∖ k[x^\{p\},y^\{p\}]$.},
author = {Piotr Jędrzejewicz},
journal = {Colloquium Mathematicae},
keywords = {derivation; ring of constants},
language = {eng},
number = {1},
pages = {109-117},
title = {On rings of constants of derivations in two variables in positive characteristic},
url = {http://eudml.org/doc/284099},
volume = {106},
year = {2006},
}

TY - JOUR
AU - Piotr Jędrzejewicz
TI - On rings of constants of derivations in two variables in positive characteristic
JO - Colloquium Mathematicae
PY - 2006
VL - 106
IS - 1
SP - 109
EP - 117
AB - Let k be a field of chracteristic p > 0. We describe all derivations of the polynomial algebra k[x,y], homogeneous with respect to a given weight vector, in particular all monomial derivations, with the ring of constants of the form $k[x^{p},y^{p},f]$, where $f ∈ k[x,y]∖ k[x^{p},y^{p}]$.
LA - eng
KW - derivation; ring of constants
UR - http://eudml.org/doc/284099
ER -