2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113881In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic $\mathbb Z\_p$-extension of $\mathbb Q(ζ\_p).$ We determlne the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in Iwasawa Theory.Number Theory11R18, 11R23, 11L05text