| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415825 | Journal of Pure and Applied Algebra | 2016 | 11 Pages |
Abstract
The union of an ascending chain of prime ideals is not always prime. The union of an ascending chain of semi-prime ideals is not always semi-prime. We show that neither one of these properties imply the other. We also show that the number of non-prime unions of subchains in a chain of primes in a PI-algebra does not exceed the PI-class minus one, and this bound is tight.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Be'eri Greenfeld, Louis H. Rowen, Uzi Vishne,