2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71805Dieter Happel asked the following question: If the $n$-th Hochschild cohomology group of a finite dimensional algebra $Γ$ over a field vanishes for all sufficiently large $n$, is the global dimension of $Γ$ finite? We give a negative answer to this question.10 pagesK-Theory and HomologyRepresentation Theory16E40, 16G10, 16P10text