Definition:Eisenstein Prime

Definition

Let $\Z \sqbrk \omega$ be the ring of Eisenstein integers.

Let $\alpha \in \Z \sqbrk \omega$ be an Eisenstein integer.

Then $\alpha$ is an Eisenstein prime if and only if $\alpha$ is prime in $\Z \sqbrk \omega$.

Source of Name

This entry was named for Ferdinand Gotthold Max Eisenstein.