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math.AC2025
Relatively big projective modules and their applications to direct sum decompositions
Román Álvarez, Dolors Herbera, Pavel Příhoda
Countably generated projective modules that are relatively big with respect to a trace ideal were introduced by P. Příhoda, as an extension of Bass' uniformly big projectives. It h…
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…
math.AC2023
Big pure projective modules over commutative noetherian rings: comparison with the completion
Dolors Herbera, Pavel Příhoda, Roger Wiegand
A module over a ring is pure projective provided it is isomorphic to a direct summand of a direct sum of finitely presented modules. We develop tools for the classification of…