2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60448We consider the Whitehead problem for principal ideal domains of large size. It is proved, in ZFC, that some p.i.d.'s of size >= aleph_{2} have non-free Whitehead modules even though they are not complete discrete valuation rings.LogicRings and Algebrastext