2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226422The primary object of this paper is to prove the conjecture of the authors from a previous paper, explaining how to recover the weak dimension of a ring from its derived category. In the process, we develop a theory of weak dimension, which we call ghost dimension, for the generalized rings, known as ring spectra, that arise in algebraic topology.Algebraic TopologyRings and Algebras55P43, 16E10, 13E05text