2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230349We show a version of Hilbert 90 that is valid for a large class of algebras many of which are not commutative, distributive or associative. This class contains the nth iteration of the Conway-Smith doubling procedure. We use our version of Hilbert 90 to parametrize all solutions in ordered fields to the norm one equation for such algebras.15 pagesRings and Algebras11D09, 12J05, 12J15, 17A35, 17A45, 17D05text