Zariski rings and flatness of completion (Q755861)
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scientific article; zbMATH DE number 4189960
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zariski rings and flatness of completion |
scientific article; zbMATH DE number 4189960 |
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Zariski rings and flatness of completion (English)
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1991
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The paper studies filtered rings with a separated filtration such that the associated graded ring is noetherian. Such filtrations are Zariskian exactly when the complete ring is faithfully flat as a right module. The flatness property of the completion corresponds then exactly to the comparison condition for the filtration. Several applications are given.
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filtered rings
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separated filtration
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graded ring
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complete ring
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faithfully flat
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completion
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