Prescribed subintegral extensions of local Noetherian domains

Bruce Olberding

Prescribed subintegral extensions of local Noetherian domains

Commutative Algebra 2013-06-05 v1

Authors: Bruce Olberding

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.

Keywords

subintegral extensions local Noetherian domains reduction number Hilbert function multiplicity local cohomology Nagata idealization

Cite

@article{arxiv.1306.0870,
  title  = {Prescribed subintegral extensions of local Noetherian domains},
  author = {Bruce Olberding},
  journal= {arXiv preprint arXiv:1306.0870},
  year   = {2013}
}

Comments

25 pages; to appear in Journal of Pure and Applied Algebra

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