21 citations · 36 across the 9 of their papers we have counts for
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The index in -exact categories
Francesca Fedele, Peter Jørgensen, Amit Shah
Starting from its original definition in module categories with respect to projective modules, the index has played an important role in various aspects of homological algebra, cat…
Super Caldero--Chapoton map for type
İlke Çanakçı, Francesca Fedele, Ana Garcia Elsener +1
One can explicitly compute the generators of a surface cluster algebra either combinatorially, through dimer covers of snake graphs, or homologically, through the CC-map applied to…
The index with respect to a contravariantly finite subcategory
Francesca Fedele, Peter Jorgensen, Amit Shah
Cluster algebras are categorified by cluster categories, and -vectors are categorified by the classic index with respect to cluster tilting subcategories. However, the recently…
Universal localizations of -homological pairs
Francesca Fedele
Let be an algebraically closed field and a finite dimensional -algebra. The universal localization of with respect to a set of morphisms…
Negative cluster categories from simple minded collection quadruples
Francesca Fedele
Fomin and Zelevinsky's definition of cluster algebras laid the foundation for cluster theory. The various categorifications and generalisations of the original definition led to Iy…
Properties of triangulated and quotient categories arising from -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…
Grothendieck groups of triangulated categories via cluster tilting subcategories
Francesca Fedele
Let be a field and a -linear, Hom-finite triangulated category with split idempotents. In this paper, we show that under suitable circumstances, the Grothendie…
-Auslander-Reiten sequences in subcategories
Francesca Fedele
Let be a finite dimensional algebra over a field . Kleiner described the Auslander-Reiten sequences in a precovering extension closed subcategory mod…
Auslander-Reiten -angles in subcategories and a -angulated generalisation of a theorem by Brüning
Francesca Fedele
Let be a finite dimensional algebra over an algebraically closed field and assume gldim, for some fixed positive integer . For , Brüning proved that ther…
Almost split morphisms in subcategories of triangulated categories
Francesca Fedele
For a suitable triangulated category with a Serre functor and a full precovering subcategory closed under summands and extensions, an indecomposable…