Keywords: associated prime ideals; Grothendieck spectral sequence; local cohomology module; semiprime closure operation
Summary: Let $\mathcal I$ be a set of ideals of a commutative Noetherian ring $R$. We use the notion of $\mathcal I$-closure operation which is a semiprime closure operation on submodules of modules to introduce the class of $\mathcal I$-Laskerian modules. This enables us to investigate the set of associated prime ideals of certain $\mathcal I$-closed submodules of local cohomology modules.
 Huneke, C.: Problems on local cohomology. Free Resolutions in Commutative Algebra and Algebraic Geometry Research Notes in Mathematics 2, Jones and Bartlett Publishers, Boston (1992), 93-108. MR 1165320 | Zbl 0782.13015