2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152859We consider the question of which valuation domains (of cardinality aleph_1) have non-standard uniserial modules. We show that a criterion conjectured by Osofsky is independent of ZFC + GCH.LogicRings and AlgebrasOn a conjecture regarding nonstandard uniserial modulestext