2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72844In this paper we completely characterize lattice ideals that are complete intersections or equivalently complete intersections finitely generated semigroups of $\bz^n\oplus T$ with no invertible elements, where $T$ is a finite abelian group. We also characterize the lattice ideals that are set-theoretic complete intersections on binomials.Commutative AlgebraAlgebraic Geometry13F20; 13C40text