integral element

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|algebra|commutative algebra|ring theory}} Given a [[commutative]] [[unital]] [[ring]] ''R'' with [[extension ring]] ''S'' (i.e., that is a [[subring]] of ''S''), any element ''s'' ∈ ''S'' that is a [[root]] of some [[monic]] [[polynomial]] with [[coefficient]]s in ''R''.

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