Standard Components of a Krull-schmidt Category

نویسنده

  • SHIPING LIU
چکیده

First, for a general Krull-Schmidt category, we provide criteria for an Auslander-Reiten component with sections 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. Finally, specialized to the module category of a finite-dimensional algebra, our criteria become particularly nice and yield some new results.

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تاریخ انتشار 2012