Indecomposable modules over pure semisimple hereditary rings. (Q1952158)
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scientific article; zbMATH DE number 6166676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indecomposable modules over pure semisimple hereditary rings. |
scientific article; zbMATH DE number 6166676 |
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Indecomposable modules over pure semisimple hereditary rings. (English)
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27 May 2013
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The authors study left pure semisimple hereditary indecomposable rings \(R\) of infinite representation type and determine all indecomposable left \(R\)-modules that are not sources of left almost split morphisms in \(R\)-mod. They use an Ext-injective partition of the family of all finitely generated indecomposable left \(R\)-modules to give a complete description of the distribution of all indecomposable modules over a left pure semisimple hereditary indecomposable ring \(R\) of infinite representation type.
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pure semisimple rings
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infinite representation type
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left almost split morphisms
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Ext injective partitions
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endofinite modules
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hereditary indecomposable rings
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