10 citations · 12 across the 5 of their papers we have counts for
8 papers
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…
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…
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…
Closure properties of
Leonid Positselski, Pavel Prihoda, Jan Trlifaj
Let be a class of modules and the class of all direct limits of modules from . The class is well understo…
Covering classes and uniserial modules
Alberto Facchini, Zahra Nazemian, Pavel Prihoda
We apply minimal weakly generating sets to study the existence of Add-covers for a uniserial module . If is a uniserial right module over a ring , then En…
Reconstructing projective modules from its trace ideal
Dolors Herbera, Pavel Prihoda
We make a detailed study of idempotent ideals that are traces of countably generated projective right modules. We associate to such ideals an ascending chain of finitely generated…