2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78458In this note, our purpose is to establish shortly the algebraicity of a holomorphic mapping between real algebraic CR manifolds under a double reflection condition which generalizes the classical single reflection. A complete study of various double reflection conditions is also provided.26 pages, LaTex, submittedComplex Variablestext