Extensions of uniserial modules (Q2039346)
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scientific article; zbMATH DE number 7367409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extensions of uniserial modules |
scientific article; zbMATH DE number 7367409 |
Statements
Extensions of uniserial modules (English)
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2 July 2021
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Summary: Let \(R\) be any ring and let \(0\rightarrow A\rightarrow B\rightarrow C\rightarrow 0\) be an exact sequence of \(R\)-modules which does not split with \(A\) and \(C\) uniserial. Then either \(B\) is indecomposable or \(B\) has a decomposition of the form \(B=B_1\oplus B_2\) where \(B_1\) and \(B_2\) are indecomposable and at least one of them is uniserial.
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uniserial modules
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uniform modules
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hollow modules
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quivers and representations
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