algebraic integer

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|algebra|number theory}} A real or complex number (more generally, an element of a [[number field]]) which is a [[root]] of a [[monic]] [[polynomial]] whose [[coefficient]]s are [[integer]]s; ''equivalently'', an [[algebraic number]] whose [[minimal polynomial]] (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.

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