The singularity category of an algebra with radical square zero
Chen, Xiao-Wu
arXiv, 1104.4006 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2011-04-20
Classification:  Mathematics - Representation Theory,  Mathematics - Rings and Algebras,  18E30, 13E10, 16E50 
@article{1104.4006,
     author = {Chen, Xiao-Wu},
     title = {The singularity category of an algebra with radical square zero},
     journal = {arXiv},
     volume = {2011},
     number = {0},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1104.4006}
}

Chen, Xiao-Wu. The singularity category of an algebra with radical square zero. arXiv, Tome 2011 (2011) no. 0, . http://gdmltest.u-ga.fr/item/1104.4006/