4 papers · 1 filter
On simples in a cosilting heart and mutation of cosilting pairs
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
Let be a finite dimensional algebra. The lattice of torsion pairs in is controlled by cosilting pairs, infinitely generated analogues of support -tilting pai…
Model structures arising from weak cotorsion pairs
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
Let be an abelian category. Beligiannis and Reiten proved that there is a bijective correspondence between so-called projective model structures on and…
Revising Auslander-Gruson-Jensen duality
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
For a ring there is a well-known duality between definable subcategories of right -modules and definable subcategories of left modules. This is a consequence of Auslande…
AIR tilting subcategories of extended hearts
Jiaqun Wei, Yu Zhou
We introduce the notion of AIR tilting subcategories of extended hearts of -structures on a triangulated category associated with silting subcategories. This notion generalizes…