2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132333A method is provided for computing an upper bound of the complexity of a module over a local ring, in terms of vanishing of certain cohomology modules. We then specialize to complete intersections, which are precisely the rings over which all modules have finite complexity.11 pagesCommutative Algebra13D02; 13D07; 13H10text