Quasi-projective modules and the finite exchange property (Q581627)
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scientific article; zbMATH DE number 4129010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-projective modules and the finite exchange property |
scientific article; zbMATH DE number 4129010 |
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Quasi-projective modules and the finite exchange property (English)
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1989
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A module M is said to be directly refinable if whenever \(M=A+B\), there exists \(\bar A\subseteq A\) and \(\bar B\subseteq B\) such that \(M=\bar A\oplus \bar B\). The author proves: Let M be a quasi-projective module. Then M is directly refinable if and only if M has the finite exchange property.
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directly refinable
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quasi-projective module
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finite exchange property
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