Quivers without loops admit global dimension 2

Nicolas Poettering

Quivers without loops admit global dimension 2

Representation Theory 2010-10-20 v1 Rings and Algebras

Authors: Nicolas Poettering

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.

Keywords

finite-dimensional algebras graded algebras representation theory of algebras

Cite

@article{arxiv.1010.3871,
  title  = {Quivers without loops admit global dimension 2},
  author = {Nicolas Poettering},
  journal= {arXiv preprint arXiv:1010.3871},
  year   = {2010}
}

Comments

6 pages

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