2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71595We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rational singularities, as well as F-regular unique factorization domains of positive characteristic. As a consequence, we answer a question on the associated primes of Frobenius powers of ideals, which arose from the localization problem in tight closure theory.Commutative AlgebraAssociated primes of local cohomology modules and of Frobenius powerstext