Quasi-excellence and formal series (Q790190)
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scientific article; zbMATH DE number 3847539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-excellence and formal series |
scientific article; zbMATH DE number 3847539 |
Statements
Quasi-excellence and formal series (English)
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1984
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The regularity of the morphism from A to A[[x]] is equivalent to the quasi-excellence of the noetherian local ring A. The proof uses on the one hand the homology theory of commutative algebras and on the other hand Rotthaus' result on the completion of quasi-excellent rings.
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noetherian local ring
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completion of quasi-excellent rings
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