Cristodor Ionescu: A note on smoothness and differential bases in positive characteristic, p.421-426

Abstract:

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.

Key Words: Smooth morphisms, differential bases.

2000 Mathematics Subject Classification: Primary: 13N05,
Secondary: 13B10.

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