A recollement of differential graded categories
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909505774682112 |
|---|---|
| author | Miranda, M. Lizbeth Shaid Sandoval Vargas, Valente Santiago Páez, Edgar O. Velasco |
| author_facet | Miranda, M. Lizbeth Shaid Sandoval Vargas, Valente Santiago Páez, Edgar O. Velasco |
| contents | In this paper, we prove that given a differential graded category C and B a full differential graded subcategory closed under coproducts, there is a canonical recollement of differential graded categories, for which we use enriched categories tools. We continue the study of differential graded triangular matrix categories as initiated in [22]. We show that given a recollement between functor dg-categories we can induce a new recollement between differential graded triangular matrix categories, this is a generalization of a result given by Chen and Zheng in [5, Theorem 4.4]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A recollement of differential graded categories Miranda, M. Lizbeth Shaid Sandoval Vargas, Valente Santiago Páez, Edgar O. Velasco Representation Theory Category Theory Rings and Algebras In this paper, we prove that given a differential graded category C and B a full differential graded subcategory closed under coproducts, there is a canonical recollement of differential graded categories, for which we use enriched categories tools. We continue the study of differential graded triangular matrix categories as initiated in [22]. We show that given a recollement between functor dg-categories we can induce a new recollement between differential graded triangular matrix categories, this is a generalization of a result given by Chen and Zheng in [5, Theorem 4.4]. |
| title | A recollement of differential graded categories |
| topic | Representation Theory Category Theory Rings and Algebras |
| url | https://arxiv.org/abs/2502.16001 |