Eakin–Nagata theorem
id:
eakin-nagata-theorem-236-11085696
title:
Eakin–Nagata theorem
text:
In abstract algebra, the Eakin–Nagata theorem states: given commutative rings A ⊂ B such that B is finitely generated as a module over A , if B is a Noetherian ring, then A is a Noetherian ring. The theorem is similar to the Artin–Tate lemma, which says that the same statement holds with "Noetherian" replaced by "finitely generated algebra". The theorem was first proved in Paul M. Eakin's thesis and later independently by Masayoshi Nagata (1968). The theorem can also be deduced from the characte
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https://en.wikipedia.org/wiki/Eakin%E2%80%93Nagata_theorem
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date modified:
2023-11-03T22:22:16Z
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{"identifier":"Q85758225","url":"https://www.wikidata.org/entity/Q85758225"}
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