2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71122Let R be a local ring and A a connected differential graded algebra over R which is free as a graded R-module. Using homological perturbation theory techniques, we construct a minimal free multi model for A having properties similar to that of an ordinary minimal model over a field; in particular the model is unique up to isomorphism of multialgebras. The attribute multi refers to the category of multicomplexes.AMSTeX2.1, 21 pagesAlgebraic Topology18G10 18G35 18G55 55P35 55P62 55U15 57T30Minimal free multi models for chain algebrastext