Homological dimension of finitely generated module having simple module as direct factor (Q1337373)
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scientific article; zbMATH DE number 682128
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homological dimension of finitely generated module having simple module as direct factor |
scientific article; zbMATH DE number 682128 |
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Homological dimension of finitely generated module having simple module as direct factor (English)
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3 November 1994
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The main result of the paper states that for a commutative Noetherian ring \(R\) there exists a nonzero finitely generated \(R\)-module of finite injective dimension if and only if \(R_ m\) is a Cohen-Macaulay ring for some maximal ideal \(m\) of \(R\).
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simple module
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injective dimension
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Cohen-Macaulay ring
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