2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74220We show that the F-signature of an F-finite local ring R of characteristic p >0 exists when R is either the localization of an $\mathbf{N}$-graded ring at its irrelevant ideal or $\mathbf{Q}$-Gorenstein on its punctured spectrum. This extends results by Huneke, Leuschke, Yao and Singh and proves the existence of the F-signature in the cases where weak F-regularity is known to be equivalent to strong F-regularity.6 pages, to appear in Ann. Fac. Sci. Toulouse Math. (6)Commutative Algebra13A35text