Skew derivations and the nil and prime radicals

Jeffrey Bergen, and Piotr Grzeszczuk. "Skew derivations and the nil and prime radicals." Colloquium Mathematicae 128.2 (2012): 229-236. <http://eudml.org/doc/286545>.

@article{JeffreyBergen2012,
abstract = {We examine when the nil and prime radicals of an algebra are stable under q-skew σ-derivations. We provide an example which shows that even if q is not a root of 1 or if δ and σ commute in characteristic 0, then the nil and prime radicals need not be δ-stable. However, when certain finiteness conditions are placed on δ or σ, then the nil and prime radicals are δ-stable.},
author = {Jeffrey Bergen, Piotr Grzeszczuk},
journal = {Colloquium Mathematicae},
keywords = {nil radical; prime radical; skew derivations; automorphisms},
language = {eng},
number = {2},
pages = {229-236},
title = {Skew derivations and the nil and prime radicals},
url = {http://eudml.org/doc/286545},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Jeffrey Bergen
AU - Piotr Grzeszczuk
TI - Skew derivations and the nil and prime radicals
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 2
SP - 229
EP - 236
AB - We examine when the nil and prime radicals of an algebra are stable under q-skew σ-derivations. We provide an example which shows that even if q is not a root of 1 or if δ and σ commute in characteristic 0, then the nil and prime radicals need not be δ-stable. However, when certain finiteness conditions are placed on δ or σ, then the nil and prime radicals are δ-stable.
LA - eng
KW - nil radical; prime radical; skew derivations; automorphisms
UR - http://eudml.org/doc/286545
ER -