6 papers
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…
ICE-closed subcategories induced by the morphism category of projective modules
Rasool Hafezi, Alireza Nasr-Isfahani, Jiaqun Wei
Let be an Artin -algebra, and ${\rm proj}\mbox{-}Î$ denotes the category of all finitely generated projective -modules. Define $\CP(Î) := {\rm Mor}({\rm proj}\mbox{-}…
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…
Wakamatsu-tilting subcategories in extriangulated categories
Zhiwei Zhu, Jiaqun Wei
Let be an extriangulated category with enough projectives and injectives. We give the definitions of Wakamatsu-tilting subcategories and Wakamatsu-cotilting subcatego…