Federico Campanini

collaborators

6 papers

math.CT2026

Spaces of subobjects as spectral spaces

Federico Campanini, Carmelo Antonio Finocchiaro

We study natural topologies on spaces of subobjects of a fixed object in a suitable category, with the aim of determining when these spaces are spectral. A central step in our appr…

math.RA2025

Homomorphisms with semilocal endomorphism rings between modules

Federico Campanini, Susan F. El-Deken, Alberto Facchini

We study the category $Morph (Mod R)$ whose objects are all morphisms between two right $R$ -modules. The behavior of objects of $\operatorname{Morph}(\…

math.RA2025

On a category of extensions whose endomorphism rings have at most four maximal ideals

Federico Campanini, Alberto Facchini

We describe the endomorphism ring of a short exact sequences $0 \to A_{R} \to B_{R} \to C_{R} \to 0$ with $A_{R}$ and $C_{R}$ uniserial modules and the behavior of these short exact sequence…

math.RA2025

On a category of chains of modules whose endomorphism rings have at most $2 n$ maximal ideals

Federico Campanini

We describe the endomorphism rings in an additive category whose objects are right $R$ -modules $M$ with a fixed chain of submodules $0=M^{(0)}\leq M^{(1)}\leq M^{(2)} \leq \dots \l…

math.AC2025

Factorizations of polynomials with integral non-negative coefficients

Federico Campanini, Alberto Facchini

We study the structure of the commutative multiplicative monoid $N_{0} [x]^{*}$ of all the non-zero polynomials in $Z [x]$ with non-negative coefficients. We show that $\…

math.RA2025

Exactness of cochain complexes via additive functors

Federico Campanini, Alberto Facchini

We investigate the relation between the notion of $e$ -exactness, recently introduced by Akray and Zebary, and some functors naturally related to it, such as the functor $P\colon\op…

Spaces of subobjects as spectral spaces

Homomorphisms with semilocal endomorphism rings between modules

On a category of extensions whose endomorphism rings have at most four maximal ideals

On a category of chains of modules whose endomorphism rings have at most 2n maximal ideals

Factorizations of polynomials with integral non-negative coefficients

Exactness of cochain complexes via additive functors

On a category of chains of modules whose endomorphism rings have at most $2 n$ maximal ideals