Faltings' local-global principle for the finiteness of local cohomology modules over Noetherian rings

Ali Akbar Mehrvarz, Reza Naghipour, Monireh Sedghi

Let $R$ denote a commutative Noetherian (not necessarily local) ring, $\mathfrak{a}$ an ideal of $R$ and $M$ a finitely generated $R$-module. The purpose of this paper is to show that $…