2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114239We compute hyperdeterminants of hypermatrices whose indices belongs in a meet-semilattice and whose entries depend only of the greatest lower bound of the indices. One shows that an elementary expansion of such a polynomial allows to generalize a theorem of Lindström to higher-dimensional determinants. And we gave as an application generalizations of some results due to Lehmer, Li and Haukkanen.New version of "A remark about factorizing GCD-type Hyperdeterminants". Title changed. Results, examples and remarks addedCombinatoricsGeneral Mathematics15A15, 15A69, 06A12text