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单词 maximal ideal
释义

maximal ideal

A proper (see proper subset) ideal I of a ring R which is maximal with respect to containment, that is, if J is an ideal such that I ⊆ J ⊆ R, then I = J or I = R. An ideal I is maximal if and only if the quotient ring R/I is a field.

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更新时间:2025/4/29 21:22:20