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math.RT2026
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…
math.RT2026
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…
math.RT2026
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…