anti-idempotent
An element of a ring is called an anti-idempotent element, or simply an anti-idempotent if .
The term is most often used in linear algebra
. Every anti-idempotent matrix over a field is diagonalizable. Two anti-idempotent matrices are similar if and only if they have the same rank.
| Title | anti-idempotent |
|---|---|
| Canonical name | Antiidempotent |
| Date of creation | 2013-03-22 13:47:22 |
| Last modified on | 2013-03-22 13:47:22 |
| Owner | mathcam (2727) |
| Last modified by | mathcam (2727) |
| Numerical id | 4 |
| Author | mathcam (2727) |
| Entry type | Definition |
| Classification | msc 16U99 |
| Related topic | LinearInvolution |