English

A note on smoothness and differential bases in positive characteristic

Commutative Algebra 2009-05-19 v2

Abstract

Let u:ABu:A\to B be a morphism of noetherian local rings. We obtain smoothness criteria for algebras with differential bases, in the case of rings containing a field of characteristic p>0.p>0. We also give smoothness criteria for reduced morphisms.

Keywords

Cite

@article{arxiv.0809.4559,
  title  = {A note on smoothness and differential bases in positive characteristic},
  author = {Cristodor Ionescu},
  journal= {arXiv preprint arXiv:0809.4559},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T11:24:26.435Z