Local-global principle for annihilation of general local cohomology
Local-global principle for annihilation of general local cohomology
Let $A$ be a Noetherian ring, let $M$ be a finitely generated $A$-module and let ${\mit \Phi } $ be a system of ideals of $A$. We prove that, for any ideal ${\mathfrak a}$ in ${\mit \Phi } $, if, for every prime ideal ${\mathfrak p}$ of $A$, there exists