Eisenstein integer

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English

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Etymology

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Named after Gotthold Eisenstein (1823–1852), German mathematician.

Noun

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Eisenstein integer (plural Eisenstein integers)

  1. (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.

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