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单词 Radical ideal
释义

Radical ideal

中文百科

理想的根 Radical of an ideal

(重定向自Radical ideal)

在数学中的环论领域,一个理想的是一个较大的理想,它约略是该理想的某种闭包。根理想是等于其自身的根的理想。

理想的根又可分为雅各布森根幂零根,前者较后者为大。

英语百科

Radical of an ideal 理想的根

(重定向自Radical ideal)

In commutative ring theory, a branch of mathematics, the radical of an ideal I is an ideal such that an element x is in the radical if some power of x is in I. A radical ideal (or semiprime ideal) is an ideal that is its own radical (this can be phrased as being a fixed point of an operation on ideals called 'radicalization'). The radical of a primary ideal is prime.

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更新时间:2025/6/18 0:19:40