2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77926In 1990, Ganster and Reilly proved that a function is continuous if and only if it is precontinuous and LC-continuous. In this paper we extend their decomposition of continuity in terms of ideals. We show that a function $f \colon (X,τ,{\cal I}) \to (Y,σ)$ is continuous if and only if it is pre-I-continuous and I-LC-continuous. We also provide a decomposition of I-continuity.11 pagesGeneral Topology54A05, 54A20, 26A15, 54A05, 54C10text