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Hereditary categories with Serre duality which are generated by preprojectives
AbstractWe show that every k-linear abelian Ext-finite hereditary category with Serre duality which is generated by preprojective objects is derived equivalent to the category of representations of a strongly locally finite thread quiver
Representations of Thread Quivers
We introduce thread quivers as an (infinite) generalization of quivers, and
show that every k-linear (k algebraically closed) hereditary category with
Serre duality and enough projectives is equivalent to the category of finitely
presented representations of a thread quiver. In this way, we obtain an
explicit construction of a new class of hereditary categories with Serre
duality.Comment: As accepted by the Proceedings of the London Mathematical Society;
some differences in label and page numbering may occur between this version
and the published versio
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