2 papers
math.AC2024
Cotorsion pairs and Tor-pairs over commutative noetherian rings
Dolors Herbera, Michal Hrbek, Giovanna Le Gros
For a commutative noetherian ring , we classify all the hereditary cotorsion pairs cogenerated by pure-injective modules of finite injective dimension. The classification is don…
math.AC2023
Restricted injective dimensions over Cohen-Macaulay rings
Michal Hrbek, Giovanna Le Gros
We show that the small and large restricted injective dimensions coincide for Cohen-Macaulay rings of finite Krull dimension. Based on this, and inspired by the recent work of Sath…