2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109096This paper applies G. Lyubeznik's notion of $F$-finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein rings. As a consequence we obtain an explicit description of the test ideal of Gorenstein rings in terms of ideals in a regular ring.Commutative Algebra13A35; 13D45text