simple module
Let be a ring, and let be an -module.
We say that is a
or odule
if it contains no submodules
other than itself and the zero module
.
Typically, by convention, the zero module is not itself considered simple.
| Title | simple module |
|---|---|
| Canonical name | SimpleModule |
| Date of creation | 2013-03-22 12:01:40 |
| Last modified on | 2013-03-22 12:01:40 |
| Owner | bwebste (988) |
| Last modified by | bwebste (988) |
| Numerical id | 7 |
| Author | bwebste (988) |
| Entry type | Definition |
| Classification | msc 16D80 |
| Synonym | irreducible module |
| Related topic | JacobsonRadical |