The singularity category of an algebra with radical square zero

Details The singularity category of an algebra with radical square zero The singularity category of an algebra with radical square zero

2011-04-20

arxiv.org/abs/1104.4006v1

Documenta Mathematica, 16 (2011), 921-936

Mathematics

Representation Theory

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Scientific paper

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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