The singularity category via the stabilization
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908665564364800 |
|---|---|
| author | Chen, Xiao-Wu |
| author_facet | Chen, Xiao-Wu |
| contents | We give a detailed proof of the following fundamental result: the singularity category of a ring is triangle equivalent to the stabilization of its stable module category. The result yields singular equivalences between rings of different nature. We use Leavitt rings to describe singularity categories of artinian rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The singularity category via the stabilization Chen, Xiao-Wu Rings and Algebras Category Theory Representation Theory We give a detailed proof of the following fundamental result: the singularity category of a ring is triangle equivalent to the stabilization of its stable module category. The result yields singular equivalences between rings of different nature. We use Leavitt rings to describe singularity categories of artinian rings. |
| title | The singularity category via the stabilization |
| topic | Rings and Algebras Category Theory Representation Theory |
| url | https://arxiv.org/abs/2511.15387 |