Almost $\cal D$-split sequences and derived equivalences

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172503In this paper, we introduce almost $\cal D$-split sequences and establish an elementary but somewhat surprising connection between derived equivalences and Auslander-Reiten sequences via BB-tilting modules. In particular, we obtain derived equivalences from Auslander-Reiten sequences (or $n$-almost split sequences), and Auslander-Reiten triangles.Representation Theory16G70,18E30 (Primary) 16G10,18G20 (Secondary)Almost $\cal D$-split sequences and derived equivalencestext