On a question of D. Rees on classical integral closure and integral closure relative to an Artinian module

Let (R, 𝔪) be a commutative Noetherian complete local ring and 𝔞 and 𝔟 ideals of R. Motivated by a question of Rees, we study the relationship between 𝔟¯, the classical Northcott–Rees integral clos...