Linear derivations with rings of constants generated by linear forms

Piotr Jędrzejewicz. "Linear derivations with rings of constants generated by linear forms." Colloquium Mathematicae 113.2 (2008): 279-286. <http://eudml.org/doc/284043>.

@article{PiotrJędrzejewicz2008,
abstract = {Let k be a field. We describe all linear derivations d of the polynomial algebra k[x₁,...,xₘ] such that the algebra of constants with respect to d is generated by linear forms: (a) over k in the case of char k = 0, (b) over $k[x₁^\{p\},...,xₘ^\{p\}]$ in the case of char k = p > 0.},
author = {Piotr Jędrzejewicz},
journal = {Colloquium Mathematicae},
keywords = {linear derivation; ring of constants},
language = {eng},
number = {2},
pages = {279-286},
title = {Linear derivations with rings of constants generated by linear forms},
url = {http://eudml.org/doc/284043},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Piotr Jędrzejewicz
TI - Linear derivations with rings of constants generated by linear forms
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 2
SP - 279
EP - 286
AB - Let k be a field. We describe all linear derivations d of the polynomial algebra k[x₁,...,xₘ] such that the algebra of constants with respect to d is generated by linear forms: (a) over k in the case of char k = 0, (b) over $k[x₁^{p},...,xₘ^{p}]$ in the case of char k = p > 0.
LA - eng
KW - linear derivation; ring of constants
UR - http://eudml.org/doc/284043
ER -