Noetherian ring

In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on ideals; that is, given any chain of ideals:

there exists an n such that:

There are other equivalent formulations of the definition of a Noetherian ring and these are outlined later in the article.

单词	Noetherian domain
释义	Noetherian domain 英语百科 Noetherian ring In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on ideals; that is, given any chain of ideals: there exists an n such that: There are other equivalent formulations of the definition of a Noetherian ring and these are outlined later in the article.
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Noetherian domain

Noetherian ring