Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two

Tomasz Brzeziński. "Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two." Colloquium Mathematicae 139.1 (2015): 111-119. <http://eudml.org/doc/283667>.

@article{TomaszBrzeziński2015,
abstract = {Two-dimensional integrable differential calculi for classes of Ore extensions of the polynomial ring and the Laurent polynomial ring in one variable are constructed. Thus it is concluded that all affine pointed Hopf domains of Gelfand-Kirillov dimension two which are not polynomial identity rings are differentially smooth.},
author = {Tomasz Brzeziński},
journal = {Colloquium Mathematicae},
keywords = {integrable differential calculi; Ore extensions; Laurent polynomial rings; affine pointed Hopf domains; Gelfand-Kirillov dimension; affine algebras; differentially smooth algebras; skew polynomial algebras},
language = {eng},
number = {1},
pages = {111-119},
title = {Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two},
url = {http://eudml.org/doc/283667},
volume = {139},
year = {2015},
}

TY - JOUR
AU - Tomasz Brzeziński
TI - Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two
JO - Colloquium Mathematicae
PY - 2015
VL - 139
IS - 1
SP - 111
EP - 119
AB - Two-dimensional integrable differential calculi for classes of Ore extensions of the polynomial ring and the Laurent polynomial ring in one variable are constructed. Thus it is concluded that all affine pointed Hopf domains of Gelfand-Kirillov dimension two which are not polynomial identity rings are differentially smooth.
LA - eng
KW - integrable differential calculi; Ore extensions; Laurent polynomial rings; affine pointed Hopf domains; Gelfand-Kirillov dimension; affine algebras; differentially smooth algebras; skew polynomial algebras
UR - http://eudml.org/doc/283667
ER -