eisenstein integer

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|algebra}} A [[complex number]] of the form <math>a + b \omega</math>, where ''a'' and ''b'' are [[integer]]s and ''&omega;'' is defined by the following two rules: (1) <math>\omega^3 = 1</math> and (2) <math> 1 + \omega + \omega^2 = 0</math>; an element of the [[Euclidean domain]] <math>\mathbb{Z}[\omega]</math>.

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