2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154685We show spherical completeness of the ring of Colombeau generalized real (or complex) numbers endowed with the sharp norm. As an application, we establish a Hahn Banach extension theorem for ultra pseudo normed modules (over the ring of generalized numbers) of generalized functions in the sense of Colombeau.11 pages, parts rewritten, notation improvedGeneral Mathematics46F30text