Quivers without loops admit global dimension 2

Details Quivers without loops admit global dimension 2 Quivers without loops admit global dimension 2

2010-10-19

arxiv.org/abs/1010.3871v1

Mathematics

Representation Theory

6 pages

Scientific paper

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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