Quivers without loops admit global dimension 2
Nicolas Poettering
Number | 47 |
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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.