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On Auslander-Reiten components of algebras without external short paths

We describe the structure of semi-regular Auslander-Reiten components of artin algebras without external short paths in the module category. As an application we give a complete description of self-injective artin algebras whose Auslander-Reiten quiver admits a regular acyclic component without external short paths.

preprint2011arXivOpen access
Alicja JaworskaPiotr MalickiAndrzej Skowroński
math.RT
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Alicja JaworskaPiotr MalickiAndrzej Skowroński

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