activity
20072023
most citedPeriodic modules and acyclic complexes

31 citations · 186 across the 19 of their papers we have counts for

collaborators

23 papers

math.RA2023

Enochs Conjecture for cotorsion pairs and more

Silvana Bazzoni, Jan Šaroch

Enochs Conjecture asserts that each covering class of modules (over any ring) has to be closed under direct limits. Although various special cases of the conjecture have been verif…

math.CT2022★ 13 cited

Fp-projective periodicity

Silvana Bazzoni, Michal Hrbek, Leonid Positselski

The phenomenon of periodicity, discovered by Benson and Goodearl, is linked to the behavior of the objects of cocycles in acyclic complexes. It is known that any flat $\mathsf{Proj…

math.AC2020

Covering classes and -tilting cotorsion pairs over commutative rings

Silvana Bazzoni, Giovanna Le Gros

We are interested in characterising the commutative rings for which a -tilting cotorsion pair provides for covers, that is when the class $\mathcal{…

math.AC2020

-covers over commutative rings

Silvana Bazzoni, Giovanna Le Gros

In this paper we consider the class of modules of projective dimension at most one over a commutative ring and we investigate when is a co…

math.RA2019★ 10 cited

Projective covers of flat contramodules

Silvana Bazzoni, Leonid Positselski, Jan Stovicek

We show that a direct limit of projective contramodules (over a right linear topological ring) is projective if it has a projective cover. A similar result is obtained for …

math.CT2019★ 11 cited

Covers and direct limits: a contramodule-based approach

Silvana Bazzoni, Leonid Positselski

We present applications of contramodule techniques to the Enochs conjecture about covers and direct limits, both in the categorical tilting context and beyond. In the -tilting-c…