Giovanna Le Gros

activity

20202025

collaborators

4 papers

math.AC2025

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions

Souvik Dey, Michal Hrbek, Giovanna Le Gros

Over Cohen--Macaulay rings admitting a pointwise dualizing module, we show that the class of modules of restricted projective dimension bounded by any integer is finitely deconstru…

math.AC2023

The finite type of modules of bounded projective dimension and Serre's conditions

Michal Hrbek, Giovanna Le Gros

Let $R$ be a commutative noetherian ring. We prove that the class of modules of projective dimension bounded by $k$ is of finite type if and only if $R$ satisfies Serre's condition…

math.AC2020

Covering classes and $1$ -tilting cotorsion pairs over commutative rings

Silvana Bazzoni, Giovanna Le Gros

We are interested in characterising the commutative rings for which a $1$ -tilting cotorsion pair $(A, T)$ provides for covers, that is when the class $\mathcal{…

math.AC2020

$P_{1}$ -covers over commutative rings

Silvana Bazzoni, Giovanna Le Gros

In this paper we consider the class $P_{1} (R)$ of modules of projective dimension at most one over a commutative ring $R$ and we investigate when $P_{1} (R)$ is a co…

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions

The finite type of modules of bounded projective dimension and Serre's conditions

Covering classes and 1-tilting cotorsion pairs over commutative rings

P1​-covers over commutative rings

Covering classes and $1$ -tilting cotorsion pairs over commutative rings

$P_{1}$ -covers over commutative rings