Eisenstein integer

English

Etymology

Named after Template:W (1823–1852), German mathematician.

Noun

1. Template:Lb A complex number of the form $a+b\omega$, where a and b are integers and ω is defined by the following two rules: (1) ${\omega }^3=1$ and (2) $1+\omega +{\omega }^2=0$; an element of the Euclidean domain $\mathbb{Z}[\omega ]$.

   Template:Ux

Hypernyms

• Template:L
  • algebraic integer

Hyponyms

• Template:L

See also

• Template:L