2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143369In this paper, we consider the classification of irreducible ${\bf Z}$- and ${\bf Z}^2$-graded modules with finite dimensional homogeneous subspaces over the Virasoro-like algebra. We first prove that such a module is a uniformly bounded module or a generalized highest weight module. Then we determine all generalized highest weight irreducible modules. As a consequence, we also determine all the modules with nonzero center. Finally, we prove that there does not exist any nontrivial ${\bf Z}$-graded modules of intermediate series.17pages, 0 figuresRepresentation TheoryQuantum Algebra17B68, 17B65, 17B10text