2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143189Hochster and Huneke proved in \cite{HH5} fine behaviors of symbolic powers of ideals in regular rings, using the theory of tight closure. In this paper, we use generalized test ideals, which are a characteristic $p$ analogue of multiplier ideals, to give a slight generalization of Hochster-Huneke's results.13 pages; v.2: minor changes, to appear in Michigan Math. JCommutative AlgebraAlgebraic Geometry13H05; 13A35text