The singularity category of an algebra with radical square zero

By Xiao-Wu Chen. Documenta Mathematica, 2011

69 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/44828db7a60d8e6decff1c9c813d94367342b486

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In Algebra and Number Theory

1. Xiao-Wu Chen
2. Apostolos Beligiannis
3. P. Ara
4. Pu Zhang
5. Kulumani M. Rangaswamy

In Geometry and Topology

1. Xiao-Wu Chen
2. Apostolos Beligiannis
3. P. Ara
4. Pu Zhang
5. Kulumani M. Rangaswamy

In Mathematical Physics

1. Xiao-Wu Chen
2. Apostolos Beligiannis
3. P. Ara
4. Kulumani M. Rangaswamy

Citations in the corpus

• Irreducible representations of Leavitt path algebras (2011, background): “Recent research indicates that the Leavitt path algebra of a quiver captures certain homological properties of both the path algebra and its Koszul dual; see [6, 14, 24].”
• Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements (2014, unknown): “Applications and Examples 31 References 40”