2013•arXiv (Cornell University)Open access
Prescribed subintegral extensions of local Noetherian domains
Bruce Olberding
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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 $R \subseteq S$ is subintegral.
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