2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135820We show that for two quivers without oriented cycles related by a BGP reflection, the posets of their tilting modules are related by a simple combinatorial construction, which we call flip-flop. We deduce that the posets of tilting modules of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent.11 pagesRepresentation Theory16G20, 16E30, 06A11, 18E30text