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arXiv · 1104.4006

The singularity category of an algebra with radical square zero

Xiao-Wu Chen
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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.

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Xiao-Wu Chen. 2011-04-20. The singularity category of an algebra with radical square zero. https://arxiv.org/abs/1104.4006

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