principal ideal
Let R be a ring and let a∈R. The principal left (resp. right, 2-sided) ideal of a is the smallest left (resp. right, 2-sided) ideal of R containing the element a.
When R is a commutative ring, the principal ideal
of a is denoted (a).
| Title | principal ideal |
|---|---|
| Canonical name | PrincipalIdeal |
| Date of creation | 2013-03-22 11:51:49 |
| Last modified on | 2013-03-22 11:51:49 |
| Owner | djao (24) |
| Last modified by | djao (24) |
| Numerical id | 7 |
| Author | djao (24) |
| Entry type | Definition |
| Classification | msc 13A15 |
| Classification | msc 16D25 |
| Classification | msc 81-00 |
| Classification | msc 82-00 |
| Classification | msc 83-00 |
| Classification | msc 46L05 |