Eisenstein integer

English Etymology Named after Gotthold Eisenstein (1823–1852), German mathematician. Noun en algebra A complex number of the form , where a and b are integers and ω is defined by the following two rules: (1) and (2) ; an element of the Euclidean domain . en To divide an Eisenstein integer by another Eisenstein integer , notice that ; accordingly multiply both denominator and numerator (of the division expressed as a fraction) by , then simplify. Hypernyms en quadratic integer algebraic integer Hyponyms en Eisenstein prime See also en Gaussian integer en eponyms en Numbers