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Noun
1. Noetherian ringMathematics
Wikipedia definition
2. Noetherian ringIn mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non-empty set of ideals has a maximal element. Equivalently, a ring is Noetherian if it satisfies the ascending chain condition on ideals; that is, given any chain: there exists a positive integer 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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