On the socle-fine notion and modules of finite length (Q2785946)
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scientific article; zbMATH DE number 983085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the socle-fine notion and modules of finite length |
scientific article; zbMATH DE number 983085 |
Statements
15 June 1997
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modules of finite length
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\(M\)-injective modules
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quasi-continuous modules
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indecomposable modules
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projective modules
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socle-fine classes of modules
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Artinian rings
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On the socle-fine notion and modules of finite length (English)
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Let \(R\) be an associative ring with nonzero identity. A nonempty class \(\mathcal C\) of left \(R\)-modules is said to be socle-fine if whenever two members of \(\mathcal C\) have isomorphic socles, then they are isomorphic. The aim of this paper is to provide socle-fine classes of modules over (commutative) Artinian rings.NEWLINENEWLINEFor the entire collection see [Zbl 0855.00015].
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