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math.AC2013
On the generalization of Faltings' Annihilator Theorem
Mohammad Reza Doustimehr, Reza Naghipour
Let be a commutative Noetherian ring and let be a non-negative integer. In this article, by using the theory of Gorenstein dimensions, it is shown that whenever is a ho…
math.AC2013
Faltings' local-global principle for the minimaxness of local cohomology modules
Mohammad Reza Doustimehr, Reza Naghipour
The concept of Faltings' local-global principle for the minimaxness of local cohomology modules over a commutative Noetherian ring is introduced, and it is shown that this prin…
math.AC2013
Faltings' local-global principle for the finiteness of local cohomology modules
Davood Asadollahi, Reza Naghipour
Let (R,m) be a complete local ring, a an ideal of R and M a finitely generated R-module. The aim of this paper is to show that for any non-negative integer n, the least integer i s…