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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.RA2024
A poisonous example to explicit resolutions of unbounded complexes
Dolors Herbera, Wolfgang Pitsch, Manuel Saorín +1
We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex. We show that one way to r…
math.AC2024
Torsion-free Modules over Commutative Domains of Krull Dimension One
Román Álvarez, Dolors Herbera, Pavel Příhoda
Let be a domain of Krull dimension one, we study when the class of modules over that are arbitrary direct sums of finitely generated torsion-free modules is c…