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arXiv · 1010.3871

Quivers without loops admit global dimension 2

Nicolas Poettering
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Abstract

Let $Q$ be a finite quiver without loops. Then there is an admissible ideal $I$ such that the algebra $kQ/I$ has global dimension at most two and is (strongly) quasi-hereditary. In addition some other (strongly) quasi-hereditary algebras $kQ/I'$ are constructed with bigger global dimension.

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Nicolas Poettering. 2010-10-19. Quivers without loops admit global dimension 2. https://arxiv.org/abs/1010.3871

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