On Auslander-Reiten components of algebras without external short paths

Details On Auslander-Reiten components of algebras without external short paths On Auslander-Reiten components of algebras without external short paths

2011-12-05

arxiv.org/abs/1112.0852v1

Journal of the London Mathematical Society (2) 85 (2012), no. 1, 245-268

Mathematics

Representation Theory

Scientific paper

10.1112/jlms/jdr034

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.

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