The finitistic dimension of a triangulated category
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929479855636480 |
|---|---|
| author | Krause, Henning |
| author_facet | Krause, Henning |
| contents | The finitistic dimension of a triangulated category is introduced. For the category of perfect complexes over a ring it is shown that this dimension is finite if and only if the small finitistic dimension of the ring is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_12671 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The finitistic dimension of a triangulated category Krause, Henning Category Theory Algebraic Geometry Representation Theory 18G80 (primary), 16E10 (secondary) The finitistic dimension of a triangulated category is introduced. For the category of perfect complexes over a ring it is shown that this dimension is finite if and only if the small finitistic dimension of the ring is finite. |
| title | The finitistic dimension of a triangulated category |
| topic | Category Theory Algebraic Geometry Representation Theory 18G80 (primary), 16E10 (secondary) |
| url | https://arxiv.org/abs/2307.12671 |