Question

Further explanation on proof that associated primes are precisely those belonging to primary modules in reduced decomposition of $0$.

score 377 · Answer 1 · 2012-02-21 09:24:43

377

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Further explanation on proof that associated primes are precisely those belonging to primary modules in reduced decomposition of $0$.

Published on 21 Feb 2012 - 9:24

score 2k · Answer 2 · 2012-07-11 13:19:35

2k

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Does every Noetherian ring contain at least one maximal ideal?

Published on 11 Jul 2012 - 13:19

score 646 · Answer 3 · 2012-07-13 16:59:07

646

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Ideals generated by regular sequences are generated by regular sequences in any order/Eisenbud, Exercise 17.6

Published on 13 Jul 2012 - 16:59

score 6k · Answer 4 · 2012-08-16 12:49:53

6k

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Commutative non Noetherian rings in which all maximal ideals are finitely generated

Published on 16 Aug 2012 - 12:49

score 532 · Answer 5 · 2012-10-22 14:14:06

532

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Global dimension of quasi Frobenius ring

Published on 22 Oct 2012 - 14:14

score 1.1k · Answer 6 · 2012-11-05 23:26:23

1.1k

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Noetherian rings and modules

Published on 05 Nov 2012 - 23:26

score 3.4k · Answer 7 · 2012-11-19 12:56:34

3.4k

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Converse to Hilbert basis theorem

Published on 19 Nov 2012 - 12:56

score 3.7k · Answer 8 · 2012-12-22 07:17:02

3.7k

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Is noetherianity a local property?

Published on 22 Dec 2012 - 7:17

score 3.5k · Answer 9 · 2013-01-09 16:52:59

3.5k

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How to prove that $k[x, xy, xy^2, \dotsc]$ is not noetherian?

Published on 09 Jan 2013 - 16:52

score 4k · Answer 10 · 2026-03-28 22:36:53

4k

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Krull dimension of Noetherian local rings is finite

Published on 28 Mar 2026 - 22:36

score 14.6k · Answer 11 · 2026-03-27 17:34:14

14.6k

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If $R$ is a Noetherian ring then $R[[x]]$ is also Noetherian

Published on 27 Mar 2026 - 17:34

score 2k · Answer 12 · 2013-02-25 23:04:17

2k

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Subspace of Noetherian space still Noetherian

Published on 25 Feb 2013 - 23:04

score 1.8k · Answer 13 · 2013-03-19 01:53:45

1.8k

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Noetherian rings and prime ideals

Published on 19 Mar 2013 - 1:53

score 41 · Answer 14 · 2026-03-28 16:44:22

41

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Examples of ideals of non Noetherian Lie algebra

Published on 28 Mar 2026 - 16:44

score 240 · Answer 15 · 2026-03-25 17:39:19

240

Views

Is the dimension of a Noetherian local ring equal to its associated graded ring?

Published on 25 Mar 2026 - 17:39

List Question

Further explanation on proof that associated primes are precisely those belonging to primary modules in reduced decomposition of $0$.

Does every Noetherian ring contain at least one maximal ideal?

Ideals generated by regular sequences are generated by regular sequences in any order/Eisenbud, Exercise 17.6

Commutative non Noetherian rings in which all maximal ideals are finitely generated

Global dimension of quasi Frobenius ring

Noetherian rings and modules

Converse to Hilbert basis theorem

Is noetherianity a local property?

How to prove that $k[x, xy, xy^2, \dotsc]$ is not noetherian?

Krull dimension of Noetherian local rings is finite

If $R$ is a Noetherian ring then $R[[x]]$ is also Noetherian

Subspace of Noetherian space still Noetherian

Noetherian rings and prime ideals

Examples of ideals of non Noetherian Lie algebra

Is the dimension of a Noetherian local ring equal to its associated graded ring?

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