Homological dimensions of complexes over coherent regular rings
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910861909557248 |
|---|---|
| author | Gillespie, James Iacob, Alina |
| author_facet | Gillespie, James Iacob, Alina |
| contents | We show that Iacob-Iyengar's answer to a question of Avromov-Foxby extends from Noetherian to coherent rings. In particular, a coherent ring R is regular if and only if the injective (resp. projective) dimension of each complex X of R-modules agrees with its graded-injective (resp. graded-projective) dimension. The same is shown for the analogous dimensions based on FP-injective R-modules, and on flat R-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08393 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological dimensions of complexes over coherent regular rings Gillespie, James Iacob, Alina Commutative Algebra 16E65, 18G25, 18N40 We show that Iacob-Iyengar's answer to a question of Avromov-Foxby extends from Noetherian to coherent rings. In particular, a coherent ring R is regular if and only if the injective (resp. projective) dimension of each complex X of R-modules agrees with its graded-injective (resp. graded-projective) dimension. The same is shown for the analogous dimensions based on FP-injective R-modules, and on flat R-modules. |
| title | Homological dimensions of complexes over coherent regular rings |
| topic | Commutative Algebra 16E65, 18G25, 18N40 |
| url | https://arxiv.org/abs/2409.08393 |