2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124201The main purpose of this paper is computing higher algebraic $K$-theory of Koszul complexes over principal ideal domains. The second purpose of this paper is giving examples of comparison techniques on algebraic $K$-theory for Waldhausen categories without the factorization axiom.K-Theory and HomologyAlgebraic Geometry19D50, 13C12Higher algebraic $K$-theory of finitely generated torsion modules over principal ideal domainstext