I allready asked this on MO, but did not get any answer.

**
Given a finite quiver with relations. When is the path algebra modulo relations hereditary?**

If the path algebra is finite dimensional or there are no relations, the answer is well known. **What happens if the path algebra is infinite dimensional and there are relations?**

I know that the question is everything but precise, however I would appreciate any reference dealing with this topic.

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