From the 1 of 8 linked papers with an AI index.
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Relatively big projective modules and their applications to direct sum decompositions
Román Ãlvarez, Dolors Herbera, Pavel PÅÃhoda
Countably generated projective modules that are relatively big with respect to a trace ideal were introduced by P. PÅÃhoda, as an extension of Bass' uniformly big projectives. It…
Torsion-free Modules over Commutative Domains of Krull Dimension One
Román Ãlvarez, Dolors Herbera, Pavel PÅÃhoda
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…
The Mittag-Leffler condition descents via pure monomorphisms
Dolors Herbera
This notes aims to clarify the proof given by Raynaud and Gruson that the Mittag-Leffler property descents via pure rings monomorphism of commutative rings. A consequence of that i…
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…