\(PC\)-rings and almost excellent extensions (Q2779012)
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scientific article; zbMATH DE number 1723810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(PC\)-rings and almost excellent extensions |
scientific article; zbMATH DE number 1723810 |
Statements
9 July 2002
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almost excellent extensions
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\(PC\)-rings
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p-injective modules
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right coherent rings
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\(FC\)-rings
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coflat rings
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0.8921906
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\(PC\)-rings and almost excellent extensions (English)
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A right \(R\)-module \(M\) is coflat (p-injective) if for any finitely generated (principal) right ideal \(I\) of \(R\), any \(R\)-homomorphism \(f\colon I\to M\) can be extended to one of \(R\to M\). A ring \(R\) is a right \(FC\)-ring (\(PC\)-ring) if \(R\) is right coherent and \(R_R\) is coflat (p-injective). The authors give characterizations of \(PC\)-rings and prove that they are invariant under almost excellent extensions.
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