2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213583In this note, we consider the $d$-cluster-tilted algebras, the endomorphism algebras of $d$-cluster-tilting objects in $d$-cluster categories. We show that a tilting module over such an algebra lifts to a $d$-cluster-tilting object in this $d$-cluster category.6 pagesRepresentation TheoryRings and Algebras18E30, 16D90Lifting to cluster-tilting objects in higher cluster categoriestext