Embedding torsionless modules in projectives (Q752805)
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scientific article; zbMATH DE number 4179574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedding torsionless modules in projectives |
scientific article; zbMATH DE number 4179574 |
Statements
Embedding torsionless modules in projectives (English)
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1990
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The author studies the rings R such that all finitely generated torsionless right R-modules embed in a projective module, giving characterizations of them in some cases of special interest like, for example, when the ring is further supposed to be Von Neumann regular: in this case the condition is equivalent to every matrix ring \(R_ n\) being a Baer ring. He also surveys some related embedding properties, including at the end of the paper a short list of open problems.
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FGTF ring
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Utumi ring
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self-injective ring
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IF ring
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finitely generated torsionless right R-modules
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projective module
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Von Neumann regular
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matrix ring
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Baer ring
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embedding properties
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0.9414948
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0.91740656
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0.9099606
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0.9085058
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0.9057413
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0.9047322
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0.90311027
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