2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122876Using a Zariski topology associated to a finite field extensions, we give new proofs and generalize the primitive and normal basis theorems.7 pages, references correctedRings and AlgebrasNumber Theory12F10; 14A25Generalizations of the primitive and normal basis theoremstext