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单词 Coprimary
释义

Coprimary

中文百科

准素分解 Primary decomposition

(重定向自Coprimary)

在交换代数中,准素分解将一个交换环的理想(或模的子模)唯一地表成准素理想(或准素子模)之交。这是算术基本定理的推广,能用以处理代数几何中的情况。

英语百科

Primary decomposition 准素分解

(重定向自Coprimary)

In mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be decomposed as an intersection, called primary decomposition, of finitely many primary ideals (which are related to, but not quite the same as, powers of prime ideals). The theorem was first proven by EmanuelLasker (1905) for the special case of polynomial rings and convergent power series rings, and was proven in its full generality by EmmyNoether (1921).

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更新时间:2025/6/19 0:24:50