On the Vanishing and the Finiteness of Supports of Generalized Local Cohomology Modules

Nguyen Tu Cuong, Nguyen Van Hoang

Let $(R,\fr m)$ be a Noetherian local ring, $I$ an ideal of $R$ and $M,N$ two finitely generated $R$-modules. The first result of this paper is to prove a vanishing theorem for ge…