Note on ideal-transforms, Rees rings, and Krull rings
The main result gives several necessary and sufficient conditions for the ideal transform T(I) to be finitely generated over R, when I is a height one ideal in an important class of two-dimensional local rings R. One of these conditions is that the integral closure of T(I) coincides with the complete integral closure of T(I). Then it is shown that if I is an ideal in a Noetherian ring and I contains a regular element, then the complete integral closure of T(I) is always a Krull ring. This is applied to certain symbolic Rees rings.
scientific article; zbMATH DE number 4025554