21 citations · 47 across the 12 of their papers we have counts for
12 papers
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…
Homomorphisms with semilocal endomorphism rings between modules
Federico Campanini, Susan F. El-Deken, Alberto Facchini
We study the category whose objects are all morphisms between two right -modules. The behavior of objects of $\operatorname{Morph}(\…
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 with and uniserial modules and the behavior of these short exact sequence…
On a category of chains of modules whose endomorphism rings have at most maximal ideals
Federico Campanini
We describe the endomorphism rings in an additive category whose objects are right -modules with a fixed chain of submodules $0=M^{(0)}\leq M^{(1)}\leq M^{(2)} \leq \dots \l…
Factorizations of polynomials with integral non-negative coefficients
Federico Campanini, Alberto Facchini
We study the structure of the commutative multiplicative monoid of all the non-zero polynomials in with non-negative coefficients. We show that $\…
Exactness of cochain complexes via additive functors
Federico Campanini, Alberto Facchini
We investigate the relation between the notion of -exactness, recently introduced by Akray and Zebary, and some functors naturally related to it, such as the functor $P\colon\op…
On bi-amalgamated constructions
Federico Campanini, Carmelo Antonio Finocchiaro
Let be ring homomorphisms and let (resp., ) be an ideal of (resp., ) satisfying $f^{-1}(\mathfrak{b…
Some remarks on Prüfer rings with zero-divisors
Federico Campanini, Carmelo Antonio Finocchiaro
Let be the fiber product , where is a surjective ring homomorphism with regular kernel and is a ring extension where is an overring of $…
Groupoids and skeletal categories form a pretorsion theory in
Francis Borceux, Federico Campanini, Marino Gran +1
We describe a pretorsion theory in the category of small categories: the torsion objects are the groupoids, while the torsion-free objects are the skeletal categories, i.e.,…
Pretorsion theories in lextensive categories
Francis Borceux, Federico Campanini, Marino Gran
We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous res…
The stable category of preorders in a pretopos I: general theory
Francis Borceux, Federico Campanini, Marino Gran
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category of preordered sets inducing a corresponding stable category. In the present work…
The stable category of preorders in a pretopos II: the universal property
Francis Borceux, Federico Campanini, Marino Gran
We prove that the stable category associated with the category of internal preorders in a pretopos satisfies a universal property. The cano…