D-split sequences and derived equivalences

In this paper, we introduce the so-called D-split sequences and show that each D-split sequence gives rise to a derived equivalence via a tilting module. In particular, we obtain derived equivalences from Auslander–Reiten sequences via BB-tilting modules (or from n-almost split sequences via n-BB-tilting modules), and Auslander–Reiten triangles. Further, we recover n-almost split sequences from n-BB-tilting modules over n-Auslander algebras.