The singularity category of an algebra with radical square zero
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2011
- DOI:
- 10.48550/arXiv.1104.4006
- arXiv:
- arXiv:1104.4006
- Bibcode:
- 2011arXiv1104.4006C
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Rings and Algebras;
- 18E30;
- 13E10;
- 16E50
- E-Print:
- Comments are welcome