Modules of differentials in characteristic \(p\) (Q1116989)
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scientific article; zbMATH DE number 4089694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modules of differentials in characteristic \(p\) |
scientific article; zbMATH DE number 4089694 |
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Modules of differentials in characteristic \(p\) (English)
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1988
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The aim of this paper is to give a necessary and sufficient condition for a local noetherian ring \(A\) containing a field \(k\) of characteristic \(p>0\) to have a flat absolute module of differentials; if \(A\) is a Nagata ring the condition is that the morphism \(A^ p\to A\) is flat and with so called ``elementary fibre''. This is an analogue in positive characteristic of a theorem of N. Radu treating the characteristic zero case.
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flat absolute module of differentials
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Nagata ring
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