Question

On permutation of regular sequence of length two in commutative Noetherian ring

score 217 · Answer 1 · 2026-04-15 21:00:59

217

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On permutation of regular sequence of length two in commutative Noetherian ring

Published on 15 Apr 2026 - 21:00

score 67 · Answer 2 · 2026-04-15 12:54:47

67

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A question on the permutation of regular sequence of length two in commutative Noetherian ring

Published on 15 Apr 2026 - 12:54

score 312 · Answer 3 · 2026-05-03 22:15:51

312

Views

Integral domain over which every non-constant irreducible polynomial has degree 1

Published on 03 May 2026 - 22:15

score 278 · Answer 4 · 2026-05-05 01:04:47

278

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Integral domain with Noetherian spectrum and algebraically closed fraction field

Published on 05 May 2026 - 1:04

score 39 · Answer 5 · 2026-04-11 05:47:07

39

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Noetherianity of $\mathbb{R}^+$

Published on 11 Apr 2026 - 5:47

score 646 · Answer 6 · 2026-04-17 22:02:05

646

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Non-unital ring $(2\mathbb{Z})[X]$ is not Noetherian

Published on 17 Apr 2026 - 22:02

score 108 · Answer 7 · 2026-04-23 07:30:51

108

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Noether polynomial ring over $2\Bbb Z$

Published on 23 Apr 2026 - 7:30

score 117 · Answer 8 · 2026-05-02 07:00:24

117

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Looking for easy example of 2-dimensional Noetherian domain which is not Cohen-Macaulay

Published on 02 May 2026 - 7:00

score 246 · Answer 9 · 2026-05-02 01:21:21

246

Views

In an integral extension $A\subseteq B$, when $B$ Noetherian implies $A$ Noetherian?

Published on 02 May 2026 - 1:21

score 113 · Answer 10 · 2026-04-14 09:16:35

113

Views

If R has ACCP does R/I have ACCP? (Counter Example)

Published on 14 Apr 2026 - 9:16

score 93 · Answer 11 · 2026-04-16 18:04:40

93

Views

Can the Artin-Rees lemma be derived from Krull Intersection theorem?

Published on 16 Apr 2026 - 18:04

score 86 · Answer 12 · 2026-04-11 04:14:36

86

Views

Does there exist a $1$-dimensional Noetherian domain whose set of all prime ideals has cardinality $\aleph_1$ ?

Published on 11 Apr 2026 - 4:14

score 465 · Answer 13 · 2026-04-15 21:14:21

465

Views

Prove that there is a finite subset of these polynomials whose zeros define the same locus.

Published on 15 Apr 2026 - 21:14

score 541 · Answer 14 · 2026-04-13 16:29:34

541

Views

Noetherian module and noetherian ring

Published on 13 Apr 2026 - 16:29

score 735 · Answer 15 · 2026-05-10 12:34:04

735

Views

What can be said of the lattices of submodules of a noetherian/finitely generated module?

Published on 10 May 2026 - 12:34

List Question

On permutation of regular sequence of length two in commutative Noetherian ring

A question on the permutation of regular sequence of length two in commutative Noetherian ring

Integral domain over which every non-constant irreducible polynomial has degree 1

Integral domain with Noetherian spectrum and algebraically closed fraction field

Noetherianity of $\mathbb{R}^+$

Non-unital ring $(2\mathbb{Z})[X]$ is not Noetherian

Noether polynomial ring over $2\Bbb Z$

Looking for easy example of 2-dimensional Noetherian domain which is not Cohen-Macaulay

In an integral extension $A\subseteq B$, when $B$ Noetherian implies $A$ Noetherian?

If R has ACCP does R/I have ACCP? (Counter Example)

Can the Artin-Rees lemma be derived from Krull Intersection theorem?

Does there exist a $1$-dimensional Noetherian domain whose set of all prime ideals has cardinality $\aleph_1$ ?

Prove that there is a finite subset of these polynomials whose zeros define the same locus.

Noetherian module and noetherian ring

What can be said of the lattices of submodules of a noetherian/finitely generated module?

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