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Noun Concept
Categories: Ring theory, Articles with short description
EN
Noetherian ring  Right Noetherian ring  left-Noetherian  left-Noetherian ring  left Noetherian
EN
In mathematics, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; if the chain condition is satisfied only for left ideals or for right ideals, then the ring is said left-Noetherian or right-Noetherian respectively. Wikipedia
Definitions
Relations
Sources
EN
In mathematics, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; if the chain condition is satisfied only for left ideals or for right ideals, then the ring is said left-Noetherian or right-Noetherian respectively. Wikipedia
Algebraic structure Wikidata
A ring which is either: (a) a commutative ring in which every ideal is finitely generated, or (b) a noncommutative ring that is both left-Noetherian (every left ideal is finitely generated) and right-Noetherian (every right ideal is finitely generated). Wiktionary
IS A
ring
Noetherian module
HAS KIND
excellent ring
catenary ring
Nagata ring
Dedekind domain
Buchsbaum ring
+3 relations
HAS QUALITY
ascending chain condition
NAMED AFTER
Noether
Wikipedia
EN
Noetherian ring
Wikidata
EN
noetherian ring
Wiktionary
EN
Noetherian ring
Wikipedia Redirections
EN
left-Noetherian, left-Noetherian ring, left Noetherian, left Noetherian ring, Noetherian domain, Noetherian rings, Noetheron rings, right-Noetherian, Right-Noetherian ring, right Noetherian, Right Noetherian ring, Right noetherian ring

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