2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95182The Recognition Theorem for graded Lie algebras is an essential ingredient in the classification of finite-dimensional simple Lie algebras over an algebraically closed field of characteristic p > 3. The main goal of this monograph is to present the first complete proof of this fundamental result.Some typos corrected - new version is the submitted versionRings and AlgebrasPrimary 17B50, 17B70, 17B20, Secondary 17B05text