2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79313We present a new and explicit method for lifting a tilting complex to a bimodule complex. The key ingredient of our method is the notion of a strong homotopy action in the sense of Stasheff.16 pagesRings and AlgebrasCategory TheoryK-Theory and HomologyRepresentation Theory18E30; 55U35text