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Sep 30, 2018 at 11:58 comment added Mare @Jabby Yes, that counts (although it would be also interested to see whether one could even have an acyclic quiver as an undirected graph derived equivalent to a quiver algebra with a oriented cycle). If you want you can make this an answer.
Sep 30, 2018 at 9:32 comment added Jabby If by cycle you mean oriented cycle, the answer is yes. Take for example $\Lambda(1,2,1)$ and $\Delta(1,2,1)$ from 10.2478/BF02475948.
Sep 28, 2018 at 17:18 history edited Mare CC BY-SA 4.0
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Sep 28, 2018 at 17:12 history asked Mare CC BY-SA 4.0