Eisenstein integer
English
editEtymology
editNamed after Gotthold Eisenstein (1823–1852), German mathematician.
Noun
editEisenstein integer (plural Eisenstein integers)
- (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 .
- 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.