Standard components of a Krull-Schmidt category

Liu, Shiping; Paquette, Charles

doi:10.1090/S0002-9939-2014-12200-3

Standard components of a Krull-Schmidt category
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by Shiping Liu and Charles Paquette PDF

Proc. Amer. Math. Soc. 143 (2015), 45-59 Request permission

Abstract:

We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations of a strongly locally finite quiver and its bounded derived category, we obtain many new types of standard Auslander-Reiten components. An application to the module category of a finite-dimensional algebra yields some interesting new results.

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