35 citations · 103 across the 24 of their papers we have counts for
30 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…
Digroups, their canonical pretorsion theory, and diheaps
Alberto Facchini, Carmelo Antonio Finocchiaro
In the category of digroups there is a natural pretorsion theory in which the torsion-free digroups are all groups, and torsion digroups form a category isomorphic to the category…
A pretorsion theory for right groups
Alberto Facchini, Carmelo Antonio Finocchiaro
Let be a right group. Then there exist two congruences and on such that is the product of its quotient semigroups and , where $S/…
Topological insights into Monoids and Module systems
Carmelo Antonio Finocchiaro, Doniyor Yazdonov
In this work, we generalize several topological results and concepts from ring theory to the setting of monoids.
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 $…