2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64685We show that the F-signature of a local ring of characteristic p, defined by Huneke and Leuschke, is positive if and only if the ring is strongly F-regular.revised version, incorporating referee's comments. 6 pagesCommutative Algebra13A35 (Primary), 13C14, 13D40 (Secondary)The F-signature and strong F-regularitytext