prime ring
A ring R is said to be a prime ring
if the zero ideal
is a prime ideal
.
If a prime ring R is commutative, then it is a cancellation ring. If in R has a multiplicative identity
1≠0, then it is an integral domain
.
| Title | prime ring |
|---|---|
| Canonical name | PrimeRing |
| Date of creation | 2013-03-22 11:51:05 |
| Last modified on | 2013-03-22 11:51:05 |
| Owner | Wkbj79 (1863) |
| Last modified by | Wkbj79 (1863) |
| Numerical id | 10 |
| Author | Wkbj79 (1863) |
| Entry type | Definition |
| Classification | msc 16U99 |
| Classification | msc 16N60 |
| Related topic | ZeroIdeal |