Dual Krull dimension and duality (Q1567135)
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scientific article; zbMATH DE number 1455463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dual Krull dimension and duality |
scientific article; zbMATH DE number 1455463 |
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Dual Krull dimension and duality (English)
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24 August 2000
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It is well-known that a ring has dual Krull dimension if it is a ring with Krull dimension. Therefore it is quite natural to compare them. The paper shows that if a commutative ring \(R\) is Noetherian or with Krull dimension \(1\), or a maximal valuation domain with Krull dimension, respectively, then the dual dimension of an \(R\)-module \(M\) is not greater than the dimension of \(M\). This result is also true for modules over right Noetherian, right \(V\)-rings.
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dual Krull dimension
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dual dimensions
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right \(V\)-rings
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right Noetherian rings
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0.94229317
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0.9119464
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0.89341015
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0.8920037
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0.89109653
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