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arxiv: 1208.5032 · v1 · pith:BF3ONUT6new · submitted 2012-08-24 · 🧮 math.RT

Standard components of a Krull-Schmidt category

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keywords categorystandardauslander-reitencomponentskrull-schmidtalgebraapplicationbounded
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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 results.

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