The Krull dimension of the module category over right Noetherian semiserial rings (Q1303330)
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scientific article; zbMATH DE number 1337568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Krull dimension of the module category over right Noetherian semiserial rings |
scientific article; zbMATH DE number 1337568 |
Statements
The Krull dimension of the module category over right Noetherian semiserial rings (English)
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5 October 1999
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Let \(R\) be a right Noetherian semiserial ring which is not Artinian. It is proved that the Krull dimension of the category of finitely generated right \(R\)-modules equals 1.
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categories of modules
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right Noetherian semiserial rings
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Krull dimension
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