Geodesic
The singularity category of an algebra with radical square zero
Documenta mathematica, Tome 16 (2011), pp. 921-936.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 18E30, 13E10, 16E50
Keywords: singularity category, von Neumann regular algebra, invertible bimodule, valued quiver 
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     title = {The singularity category of an algebra with radical square zero},
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Chen, Xiao-Wu. The singularity category of an algebra with radical square zero. Documenta mathematica, Tome 16 (2011), pp. 921-936. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a2/