On Faltings' annihilator theorem
arXiv:math/0610312
Abstract
In the present article, the author shows that Faltings' annihilator theorem holds for any Noetherian ring if is universally catenary; all the formal fibers of all the localizations of are Cohen-Macaulay; and the Cohen-Macaulay locus of each finitely generated -algebra is open.
6 pages