Auslander-Reiten components determined by their composition factors

Jaworska, Alicja; Malicki, Piotr; Skowroński, Andrzej

doi:10.1090/S0002-9939-2012-11298-5

Auslander-Reiten components determined by their composition factors
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by Alicja Jaworska, Piotr Malicki and Andrzej Skowroński

Proc. Amer. Math. Soc. 140 (2012), 4131-4140

DOI: https://doi.org/10.1090/S0002-9939-2012-11298-5

Published electronically: April 26, 2012

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Abstract:

We provide sufficient conditions for a component of the Auslander-Reiten quiver of an Artin algebra to be determined by the composition factors of its indecomposable modules.

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