Indecomposable modules over pure semisimple hereditary rings. (Q1952158)

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scientific article; zbMATH DE number 6166676
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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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