2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106307We prove that every non-finitely generated projective module over the integral group ring of a polycyclic-by-finite group G is free if and only if G is polycyclic.15 pages, to appear in J. AlgebraRings and Algebras16D40 (Primary) 20C12 (Secondary)Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groupstext