2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79824A computer algebra algoritm for solving the quantum Yang-Baxter equation is presented. It is based on the Taylor expansion of R-matrix which is developed up to the order λ^6. As an example the classification of 4x4 R-matrices is given.Latex 2e, 18 pagesExactly Solvable and Integrable Systemstext