Question

$\mathbb Z[\sqrt {-5}]$ is Noetherian

score 2.3k · Answer 1 · 2014-03-09 20:54:45

2.3k

Views

$\mathbb Z[\sqrt {-5}]$ is Noetherian

Published on 09 Mar 2014 - 20:54

score 800 · Answer 2 · 2014-03-11 13:51:34

800

Views

Height unmixed ideal and a non-zero divisor

Published on 11 Mar 2014 - 13:51

score 1.2k · Answer 3 · 2017-04-15 18:28:52

1.2k

Views

Surjective homomorphism from a Noetherian ring to another ring

Published on 15 Apr 2017 - 18:28

score 787 · Answer 4 · 2026-03-25 17:24:30

787

Views

Given an Artinian ring $(A, \mathfrak{m})$, show that $\mathfrak{m}$ is nilpotent.

Published on 25 Mar 2026 - 17:24

score 249 · Answer 5 · 2017-04-29 06:53:22

249

Views

$N_1$ and $N_2$ are noetherian $R$-modules. Does it imply that $N_1+N_2$ is noetherian?

Published on 29 Apr 2017 - 6:53

score 166 · Answer 6 · 2017-05-02 10:01:24

166

Views

Why the set of maximal ideal of a domain with jacobson radical zero is infinite?

Published on 02 May 2017 - 10:01

score 399 · Answer 7 · 2026-03-28 08:35:38

399

Views

Example of a Noetherian local ring of dimension one which is not a discrete valuation ring.

Published on 28 Mar 2026 - 8:35

score 113 · Answer 8 · 2026-03-25 17:22:44

113

Views

A simple Artinian left quotient ring of a left Noetherian domain

Published on 25 Mar 2026 - 17:22

score 287 · Answer 9 · 2026-03-25 17:21:32

287

Views

The ring of quotients of the first Weyl algebra

Published on 25 Mar 2026 - 17:21

score 399 · Answer 10 · 2017-05-24 22:58:39

399

Views

$\mathfrak q$ a $\mathfrak p$-primary ideal, show that every maximal chain from $\mathfrak q$ to $\mathfrak p$ has same length.

Published on 24 May 2017 - 22:58

score 192 · Answer 11 · 2017-05-25 15:11:21

192

Views

When is every prime element of a Noetherian UFD irreducible in a simple algebraic ring extension

Published on 25 May 2017 - 15:11

score 150 · Answer 12 · 2017-06-05 19:03:13

150

Views

Is the local ring $(K[x_1,...,x_n,...])_{(x_1,...,x_n)}$ noetherian?

Published on 05 Jun 2017 - 19:03

score 88 · Answer 13 · 2026-03-27 15:19:53

88

Views

infinite indeterminates over a left noetherian ring is left coherent(want a basic proof)

Published on 27 Mar 2026 - 15:19

score 149 · Answer 14 · 2017-06-12 16:14:13

149

Views

Consecutive powers of ideals in a Noetherian ring

Published on 12 Jun 2017 - 16:14

score 42 · Answer 15 · 2017-06-13 00:50:56

42

Views

An irreducible $a \in A \subset B$ such that $B$ is f.g. free $A$-module remains irreducible in $B$?

Published on 13 Jun 2017 - 0:50

List Question

$\mathbb Z[\sqrt {-5}]$ is Noetherian

Height unmixed ideal and a non-zero divisor

Surjective homomorphism from a Noetherian ring to another ring

Given an Artinian ring $(A, \mathfrak{m})$, show that $\mathfrak{m}$ is nilpotent.

$N_1$ and $N_2$ are noetherian $R$-modules. Does it imply that $N_1+N_2$ is noetherian?

Why the set of maximal ideal of a domain with jacobson radical zero is infinite?

Example of a Noetherian local ring of dimension one which is not a discrete valuation ring.

A simple Artinian left quotient ring of a left Noetherian domain

The ring of quotients of the first Weyl algebra

$\mathfrak q$ a $\mathfrak p$-primary ideal, show that every maximal chain from $\mathfrak q$ to $\mathfrak p$ has same length.

When is every prime element of a Noetherian UFD irreducible in a simple algebraic ring extension

Is the local ring $(K[x_1,...,x_n,...])_{(x_1,...,x_n)}$ noetherian?

infinite indeterminates over a left noetherian ring is left coherent(want a basic proof)

Consecutive powers of ideals in a Noetherian ring

An irreducible $a \in A \subset B$ such that $B$ is f.g. free $A$-module remains irreducible in $B$?

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