Eigenelement

English

Noun

1. Template:Lb A nonzero element $m$ of a semimodule $M$, such that there exists an endomorphism $A$ on $M$ and a real number $r$ (a corresponding eigenvalue) for which the image of $m$ under $\mathrm{A}$ is equal to the product of $r$ times $m$; i.e. $mA=rm$.

Usage notes

An eigenelement is a generalization of an eigenvector to a semimodule.