F. Fedele

activity

20182022

collaborators

5 papers

math.RT2022

Universal localizations of $d$ -homological pairs

Francesca Fedele

Let $k$ be an algebraically closed field and $Φ$ a finite dimensional $k$ -algebra. The universal localization $Φ \to Φ_{S}$ of $Φ$ with respect to a set of morphisms…

math.RT2020

Properties of triangulated and quotient categories arising from $n$ -Calabi-Yau triples

Francesca Fedele

The original definition of cluster algebras by Fomin and Zelevinsky has been categorified and generalised in several ways over the course of the past 20 years, giving rise to clust…

math.RT2018

Grothendieck groups of triangulated categories via cluster tilting subcategories

Francesca Fedele

Let $k$ be a field and $C$ a $k$ -linear, Hom-finite triangulated category with split idempotents. In this paper, we show that under suitable circumstances, the Grothendie…

math.RT2018

$d$ -Auslander-Reiten sequences in subcategories

Francesca Fedele

Let $Φ$ be a finite dimensional algebra over a field $k$ . Kleiner described the Auslander-Reiten sequences in a precovering extension closed subcategory $X \subseteq$ mod…

math.RT2018

Auslander-Reiten $(d + 2)$ -angles in subcategories and a $(d + 2)$ -angulated generalisation of a theorem by Brüning

Francesca Fedele

Let $Φ$ be a finite dimensional algebra over an algebraically closed field $k$ and assume gldim $Φ \leq d$ , for some fixed positive integer $d$ . For $d = 1$ , Brüning proved that ther…

Universal localizations of d-homological pairs

Properties of triangulated and quotient categories arising from n-Calabi-Yau triples

Grothendieck groups of triangulated categories via cluster tilting subcategories

d-Auslander-Reiten sequences in subcategories

Auslander-Reiten (d+2)-angles in subcategories and a (d+2)-angulated generalisation of a theorem by Brüning

Universal localizations of $d$ -homological pairs

Properties of triangulated and quotient categories arising from $n$ -Calabi-Yau triples

$d$ -Auslander-Reiten sequences in subcategories

Auslander-Reiten $(d + 2)$ -angles in subcategories and a $(d + 2)$ -angulated generalisation of a theorem by Brüning