2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140681In this paper, we show that the tilting modules over a cluster-tilted algebra $A$ lift to tilting objects in the associated cluster category $\mathcal{C}_H$. As a first application, we describe the induced exchange relation for tilting $A$-modules arising from the exchange relation for tilting object in $\mathcal{C}_H$. As a second application, we exhibit tilting $A$-modules having cluster-tilted endomorphism algebras.19 pages, 1 figureRepresentation TheoryRings and Algebras16G20; 18E30text