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单词 IntegrallyClosed
释义

integrally closed


A subring R of a commutative ring S is said to be integrally closedMathworldPlanetmath in S if whenever θS and θ is integral over R, then θR.

The integral closureMathworldPlanetmath of R in S is integrally closed in S.

An integral domainMathworldPlanetmath R is said to be integrally closed (or ) if it is integrally closed in its fraction field.

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更新时间:2025/5/4 15:16:05