Cotorsion pairs and Tor-pairs over commutative noetherian rings
| Autor: | Herbera, Dolors, Hrbek, Michal, Gros, Giovanna Le |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | For a commutative noetherian ring $R$, we classify all the hereditary cotorsion pairs cogenerated by pure-injective modules of finite injective dimension. The classification is done in terms of integer-valued functions on the spectrum of the ring. Each such function gives rise to a system of local depth conditions which describes the left-hand class in the corresponding cotorsion pair. Furthermore, we show that these cotorsion pairs correspond by explicit duality to hereditary Tor-pairs generated by modules of finite flat dimension. Comment: 27 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|