Prescribed subintegral extensions of local Noetherian domains
Abstract
We show how subintegral extensions of certain local Noetherian domains S can be constructed with specified invariants including reduction number, Hilbert function, multiplicity and local cohomology. The construction behaves analytically like Nagata idealization but rather than a ring extension of S, it produces a subring R of S such that R ⊂eq S is subintegral.
0