| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597620 | Journal of Pure and Applied Algebra | 2010 | 6 Pages |
Abstract
For a Noetherian domain, the sets of divisorial primes, tt-primes, and associated primes of principal ideals coincide. We study the divisorial primes of a Noetherian domain as a partially ordered set. In particular, we show that it is possible to have arbitrarily long chains and any finite amount of noncatenarity.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Evan Houston, Abdeslam Mimouni,