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arxiv: 0809.4559 · v2 · submitted 2008-09-26 · 🧮 math.AC

A note on smoothness and differential bases in positive characteristic

classification 🧮 math.AC
keywords smoothnessbasescharacteristiccriteriadifferentialringsalgebrascase
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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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