F. Fedele

activity

20172024

(d + 2)

-angles in subcategories and a

(d + 2)

-angulated generalisation of a theorem by Brüning

21 citations · 36 across the 9 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

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★ 11 cited

$d$ -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★ 21 cited

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…

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

$d$ -Auslander-Reiten sequences in subcategories

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