2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64880We show that if two rings have equivalent derived categories then they have the same algebraic K-theory. Similar results are given for G-theory, and for a large class of abelian categories.22 pagesK-Theory and HomologyAlgebraic Topology19D99; 18E30, 55U35text