2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134562We construct a notion of derived completion which applies to homomorphisms of commutative S-algebras. We study the relationship of the construction with other constructions of completions, and prove various invariance properties. The construction is expected to have applications within algebraic K-theory.33 pagesAlgebraic TopologyCommutative Algebra55P42 (Primary); 13J10 (Secondary)text