On Faltings' annihilator theorem

T Kawasaki - Proceedings of the American Mathematical Society, 2008 - ams.org
In 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 …

On the generalization of Faltings' annihilator theorem

MR Doustimehr, R Naghipour - Archiv der Mathematik, 2014 - Springer
Let R be a commutative Noetherian ring, and let n be a non-negative integer. In this article,
by using the theory of Gorenstein dimensions, it is shown that whenever R is a homomorphic …

On the annihilators of local cohomology modules

K Khashyarmanesh - Communications in Algebra, 2009 - Taylor & Francis
Let R be a commutative Noetherian ring with nonzero identity, 𝔟 a and 𝔟 b ideals of R with 𝔟
b⊆ 𝔟 a, and M a finitely generated R-module. In this article, for a non-negative integer n, we …

On The Annihilators of Derived Functors of Local Cohomology Modules and Finiteness Dimension

K Khashyarmanesh, F Khosh-Ahang - Communications in Algebra, 2013 - Taylor & Francis
Let R be a commutative Noetherian ring, M be a weakly Laskerian R-module and 𝔞 be an
ideal of R. Moreover, suppose that F and T are two covariant R-linear functors such that for …