2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66771We describe, by matrix factorizations, the rank one graded maximal Cohen-Macaulay modules over the hypersurface Y_1^3+Y_2^3+Y_3^3+Y_4^3.to appear in NATO Conference Sinaia, Kluwer, Eds Jurgen Herzog and Victor VuletescuCommutative Algebra13C14, 13H10, 13P10, 14J60Rank one Maximal Cohen-Macaulay modules over singularities of type Y_1^3+Y_2^3+Y_3^3+Y_4^3text