Back to Search
Start Over
The singular Yoneda category and the stabilization functor
- Publication Year :
- 2022
-
Abstract
- For a noetherian ring $\Lambda$, the stabilization functor in the sense of Krause yields an embedding of the singularity category of $\Lambda$ into the homotopy category of acyclic complexes of injective $\Lambda$-modules. When $\Lambda$ contains a semisimple artinian subring $E$, we give an explicit description of the stabilization functor using the Hom complexes in the $E$-relative singular Yoneda dg category of $\Lambda$.<br />Comment: 28 pages, comments welcome
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2205.08429
- Document Type :
- Working Paper