prime radical
The prime radical or lower nilradical of a ring is the intersection of all the prime ideals
of .
Note that the prime radical is the smallest semiprime ideal of , and that is a semiprime ring if and only if its prime radical is the zero ideal
.
| Title | prime radical |
|---|---|
| Canonical name | PrimeRadical |
| Date of creation | 2013-03-22 12:01:29 |
| Last modified on | 2013-03-22 12:01:29 |
| Owner | CWoo (3771) |
| Last modified by | CWoo (3771) |
| Numerical id | 7 |
| Author | CWoo (3771) |
| Entry type | Definition |
| Classification | msc 16N80 |
| Synonym | lower nilradical |
| Related topic | RadicalOfAnIdeal |
| Related topic | Nilradical |