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Quivers without loops admit global dimension 2

Nicolas Poettering

Number 47
Author Nicolas Poettering
Project C01
Year 2010

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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