35 citations · 103 across the 24 of their papers we have counts for
Showing 2019 · math.CTShow all
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math.CT2019★ 4 cited
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))…
math.CT2019★ 20 cited
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…
math.CT2019
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…