noetherian (original) (raw)
A ring R is left noetherianif it is noetherian as a left module over itself (i.e. if RR is a ), and right noetherianif it is noetherian as a right module over itself (i.e. if RR is an ), and simply noetherianif both conditions hold.
| Title | noetherian |
|---|---|
| Canonical name | Noetherian |
| Date of creation | 2013-03-22 12:26:53 |
| Last modified on | 2013-03-22 12:26:53 |
| Owner | antizeus (11) |
| Last modified by | antizeus (11) |
| Numerical id | 5 |
| Author | antizeus (11) |
| Entry type | Definition |
| Classification | msc 16P40 |
| Synonym | left noetherian |
| Synonym | right noetherian |
| Related topic | Artinian |
| Related topic | Noetherian |
| Related topic | HollowMatrixRings |