simple ring
A nonzero ring is said to be a simple ring
if it has no (two-sided) ideal other then the zero ideal
and itself.
This is equivalent to saying that the zero ideal is a maximal ideal
.
If is a commutative ring with unit, then this is equivalent to being a field.
| Title | simple ring |
|---|---|
| Canonical name | SimpleRing |
| Date of creation | 2013-03-22 11:51:07 |
| Last modified on | 2013-03-22 11:51:07 |
| Owner | antizeus (11) |
| Last modified by | antizeus (11) |
| Numerical id | 9 |
| Author | antizeus (11) |
| Entry type | Definition |
| Classification | msc 16D60 |