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单词 Maximal Ideal
释义

Maximal Ideal

A maximal ideal of a Ring is an Ideal , not equal to , such that there are no Ideals``in between'' and . In other words, if is an Ideal which contains as a Subset, then either or . For example, is a maximal ideal of Iff is Prime, where is theRing of Integers.

See also Ideal, Prime Ideal, Regular Local Ring, Ring
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