From the 1 of 8 linked papers with an AI index.
8 papers
Trace ideals and uniserial modules
Dolors Herbera, Pavel PÅÃ hoda
The paper studies trace ideals of projective modules over the endomorphism ring of a uniserial module, characterizing when right‑hand trace ideals differ from left‑hand ones and pr…
Semi-Bousfield classes and nonmonotone perversities
Dolors Herbera, Michal Hrbek, Giovanna Le Gros
In the generality of a rigidly-compactly generated tensor triangulated category, we introduce semi-Bousfield classes in terms of the vanishing of the tensor product in positive deg…
A family of examples of generalized perfect rings
Pınar AydoÄdu, Dolors Herbera
We construct a family of semiprimitive and non von Neumann regular rings satisfying that any right or left module is isomorphic to a quotient of its flat cover (in the sense of Eno…
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…
A poisonous example to explicit resolutions of unbounded complexes
Dolors Herbera, Wolfgang Pitsch, Manuel SaorÃn +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…
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…