Asymptotic stability of certain sets of associated prime ideals of local cohomology modules

Nguyen Tu Cuong, Nguyen Van Hoang, Pham Huu Khanh

Let $(R,\m)$ be a Noetherian local ring $I,J$ two ideals of $R$ and $M$ a finitely generated $R-$module. It is first shown that for $k\ge -1$ the integer $r_k = \depth_k(I,J^nM/J…