2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144944We show that a tilting module over the endomorphism algebra of a cluster-tilting object in a 2-Calabi-Yau triangulated category lifts to a cluster-tilting object in this 2-Calabi-Yau triangulated category. This generalizes a recent work of D. Smith for cluster categories.7 pages; typos corrected; reference added; a gap filledRepresentation TheoryRings and Algebras18E30; 16D90text