On commutative weakly SCI-rings (Q2839802)
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scientific article; zbMATH DE number 6187712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On commutative weakly SCI-rings |
scientific article; zbMATH DE number 6187712 |
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12 July 2013
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Hopfian module
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SCI-ring
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On commutative weakly SCI-rings (English)
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Let \(R\) be a commutative ring with identity. An \(R\)-module \(M\) is called weakly co-Hopfian if any injective endomorphism of \(M\) is an essential. The ring \(R\) is called weakly SCI-ring if any weakly co-Hopfian \(R\)-module is finitely generated. In the paper under review the authors show that \(R\) is SCI-ring if and only if it is an Artinian principal ideal ring.
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0.8601348400115967
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