2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159552The notion of the characteristic Lie algebra of the discrete hyperbolic type equation is introduced. An effective algorithm to compute the algebra for the equation given is suggested. Examples and further applications are discussed.Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/Exactly Solvable and Integrable SystemsMathematical PhysicsCellular Automata and Lattice Gasestext