Indecomposable modules over pure semisimple hereditary rings
Copyright policy )Indecomposable modules over pure semisimple hereditary rings
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.
- University of Murcia Spain
- Ohio University – Zanesville United States
Left almost split morphism, left almost split morphisms, Algebra and Number Theory, Pure semisimple ring, Endofinite module, endofinite modules, Representation type (finite, tame, wild, etc.) of associative algebras, pure semisimple rings, hereditary indecomposable rings, Finite representation type, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Simple and semisimple modules, primitive rings and ideals in associative algebras, Ext injective partitions, infinite representation type, Representations of associative Artinian rings
Left almost split morphism, left almost split morphisms, Algebra and Number Theory, Pure semisimple ring, Endofinite module, endofinite modules, Representation type (finite, tame, wild, etc.) of associative algebras, pure semisimple rings, hereditary indecomposable rings, Finite representation type, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Simple and semisimple modules, primitive rings and ideals in associative algebras, Ext injective partitions, infinite representation type, Representations of associative Artinian rings
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