A recognition principle for the existence of descent data (Q897103)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A recognition principle for the existence of descent data |
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A recognition principle for the existence of descent data (English)
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16 December 2015
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Suppose \(R\to S\) is a faithfully flat ring map. Given an \(S\)-module \(N\), the author gives a criterion under some reasonable hypotheses on the map \(R\to S\), for the existence of an \(R\)-module \(M\) such that \(S \otimes_R M = N\). The criterion is a special case of a more general question about extensions of comonads.
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descent theory
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comonad
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module
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commutative ring
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exact sequence of commutative monoids
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