35 citations · 103 across the 24 of their papers we have counts for
4 papers · 1 filter
A new Galois structure in the category of internal preorders
Alberto Facchini, Carmelo Finocchiaro, Marino Gran
Let be the category of internal preorders in an exact category . We show that the pair $(\mathsf{Eq}(\mathbb C), \mathsf{ParOrd}(\mathbb C))…
Pretorsion theories in general categories
Alberto Facchini, Carmelo Finocchiaro, Marino Gran
We present a setting for the study of torsion theories in general categories. The idea is to associate, with any pair (, ) of full replete subcategories in…
Suprema in spectral spaces and the constructible closure
Carmelo Antonio Finocchiaro, Dario Spirito
Given an arbitrary spectral space , we endow it with its specialization order and we study the interplay between suprema of subsets of and the constructible to…
Pretorsion theories, stable category and preordered sets
Alberto Facchini, Carmelo Finocchiaro
We show that in the category of preordered sets, there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endow…