27 citations · 33 across the 11 of their papers we have counts for
4 papers · 1 filter
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.