An element x of a ring is called an anti-idempotent element, or simply an anti-idempotent if x2=-x.

The term is most often used in linear algebraMathworldPlanetmath. 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