2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114305We prove that for $d \geq 2$, an algebraic $d$-Calabi-Yau triangulated category endowed with a $d$-cluster tilting subcategory is the stable category of a DG category which is perfectly $(d+1)$-Calabi-Yau and carries a non degenerate $t$-structure whose heart has enough projectives.18 pagesRepresentation TheoryK-Theory and Homology18E30 (Primary) 18E35, 18E10, 16E45 (Secondary)text