# The singularity category of an algebra with radical square zero

### Xiao-Wu Chen

## Abstract

To an artin algebra with radical square zero, a regular algebra in the sense of von Neumann and a family of invertible bimodules over the regular algebra are associated. These data describe completely, as a triangulated category, the singularity category of the artin algebra. A criterion on the Hom-finiteness of the singularity category is given in terms of the valued quiver of the artin algebra.

## Cite this article

Xiao-Wu Chen, The singularity category of an algebra with radical square zero. Doc. Math. 16 (2011), pp. 921–936

DOI 10.4171/DM/356