2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66912We introduce the notion of strong test module and show that a large number of such modules appear in the tight closure theory of complete domains: the test ideal (this has already been known), the parameter test module, and the module of relative test elements. They also appear as certain multiplier ideals, a concept of interest in algebraic geometry.10 pages, to appear in manuscripta mathematicaCommutative AlgebraAlgebraic Geometry13A35 (primary);14B05 (secondary)text