minimal prime ideal
A prime ideal![]()
of a ring is called a minimal prime ideal if it does not properly contain any other prime ideal of .
If is a prime ring![]()
, then the zero ideal
![]()
is a prime ideal, and is thus the unique minimal prime ideal of .
| Title | minimal prime ideal |
|---|---|
| Canonical name | MinimalPrimeIdeal |
| Date of creation | 2013-03-22 12:01:21 |
| Last modified on | 2013-03-22 12:01:21 |
| Owner | antizeus (11) |
| Last modified by | antizeus (11) |
| Numerical id | 6 |
| Author | antizeus (11) |
| Entry type | Definition |
| Classification | msc 16D80 |
| Related topic | ZeroIdeal |