A note on smoothness and differential bases in positive characteristic

Details A note on smoothness and differential bases in positive characteristic A note on smoothness and differential bases in positive characteristic

2008-09-26

arxiv.org/abs/0809.4559v2

Mathematics

Commutative Algebra

6 pages

Scientific paper

Let $u:A\to B$ 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 $p>0.$ We also give smoothness criteria for reduced
morphisms.

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