2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117900In the present article, the author shows that Faltings' annihilator theorem holds for any Noetherian ring $A$ if $A$ is universally catenary; all the formal fibers of all the localizations of $A$ are Cohen-Macaulay; and the Cohen-Macaulay locus of each finitely generated $A$-algebra is open.6 pagesCommutative Algebra13D45text