| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772881 | Journal of Pure and Applied Algebra | 2009 | 13 Pages |
Abstract
It has long been known that an integral domain A can be Noetherian while its integral closure Aâ² is not. However, when Heinzer asked whether Aâ² can have an infinitely generated maximal ideal, the question went unanswered. In this article, a local Noetherian domain A is constructed with the property that Aâ² has an infinitely generated maximal ideal. Moreover, the completion of Aâ² is not Noetherian. It had not previously been shown that this can happen.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Raymond C. Heitmann,