Intervals of torsion pairs and generalized Happel-Reiten-Smalø tilting

Jieyu Chen, Zengqiang Lin

Let $\mathcal{A}$ be an abelian category with a torsion pair $(\mathcal{T},\mathcal{F})$. Happel-Reiten-Smalo tilting provides a method to construct a new abelian category $\mathca…