A condition for a translation quiver to be a coil. (English) Zbl 1061.16030
Summary: We single out a class of translation quivers and prove combinatorially that the translation quivers in this class are coils. These coils form a class of special coils. They are easier to visualize, but still show all the strange behaviour of general coils, and contain quasi-stable tubes as special examples.
MSC:
| 16G70 | Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers |
| 16G20 | Representations of quivers and partially ordered sets |
| 16G10 | Representations of associative Artinian rings |
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