Cohen-Macaulay dimension of modules over Noetherian rings (Q812480)
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scientific article; zbMATH DE number 5000995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohen-Macaulay dimension of modules over Noetherian rings |
scientific article; zbMATH DE number 5000995 |
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Cohen-Macaulay dimension of modules over Noetherian rings (English)
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24 January 2006
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The paper gives a criterion for an arbitrary Noetherian ring to be Cohen-Macualay. The authors prove that a Noetherian ring \(R\) is Cohen-Macaulay if and only if, for all finitely generated \(R\)-modules \(M\), the Cohen-Macaulay dimension is finite. This extends a similar criterion known for local rings.
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