Question

If $M$ is a Noetherian $A$-module then show that $\frac{A}{\operatorname{Ann}M}$ is a Noetherian Ring.

score 261 · Answer 1 · 2020-05-21 11:52:48

261

Views

If $M$ is a Noetherian $A$-module then show that $\frac{A}{\operatorname{Ann}M}$ is a Noetherian Ring.

Published on 21 May 2020 - 11:52

score 41 · Answer 2 · 2020-06-01 07:11:34

41

Views

Intersection of $I$-adic neiborhoods equal to intersection of kernel of localization map

Published on 01 Jun 2020 - 7:11

score 159 · Answer 3 · 2020-06-02 11:25:33

159

Views

Equivalence for artinian and noetherian vector spaces

Published on 02 Jun 2020 - 11:25

score 99 · Answer 4 · 2020-06-03 20:06:06

99

Views

Noetherian commutative ring with finite but not discrete spectrum

Published on 03 Jun 2020 - 20:06

score 158 · Answer 5 · 2026-03-25 11:01:39

158

Views

A question about a step in a proof of the Krull Intersection Theorem

Published on 25 Mar 2026 - 11:01

score 32 · Answer 6 · 2026-03-25 12:22:29

32

Views

Descending sequence for module with finite length

Published on 25 Mar 2026 - 12:22

score 80 · Answer 7 · 2020-06-06 21:08:25

80

Views

Numerical polynomial of modules with infinite length

Published on 06 Jun 2020 - 21:08

score 801 · Answer 8 · 2026-03-26 02:45:41

801

Views

Does a prime ideal contains an irreducible element?

Published on 26 Mar 2026 - 2:45

score 98 · Answer 9 · 2020-06-14 13:08:11

98

Views

Family of polynomials without common zeros

Published on 14 Jun 2020 - 13:08

score 434 · Answer 10 · 2020-06-19 01:06:02

434

Views

If $R$ is a reduced Noetherian ring, then every prime ideal in the total quotient ring $K(R)$ is maximal.

Published on 19 Jun 2020 - 1:06

score 377 · Answer 11 · 2026-03-25 09:24:20

377

Views

Check Noetherian-Artinian for $\mathbb{Q}[x]$ as a $\mathbb{Q}$-module and $\mathbb{Q}[x]$-module

Published on 25 Mar 2026 - 9:24

score 126 · Answer 12 · 2026-03-26 00:53:48

126

Views

A non-unit which is neither irreducible, nor a product of irreducibles.

Published on 26 Mar 2026 - 0:53

score 67 · Answer 13 · 2020-06-28 09:36:58

67

Views

$A$ is noetherian if and only if $A/\mathfrak{a}$ and $A/\mathfrak{b}$ are Noetherian

Published on 28 Jun 2020 - 9:36

score 49 · Answer 14 · 2026-02-23 04:38:28

49

Views

$ab=0 \Rightarrow b$ is nilpotent in a Noetherian ring

Published on 23 Feb 2026 - 4:38

score 598 · Answer 15 · 2026-03-25 11:04:45

598

Views

The length of a semisimple module is finite if it is finitely generated

Published on 25 Mar 2026 - 11:04

List Question

If $M$ is a Noetherian $A$-module then show that $\frac{A}{\operatorname{Ann}M}$ is a Noetherian Ring.

Intersection of $I$-adic neiborhoods equal to intersection of kernel of localization map

Equivalence for artinian and noetherian vector spaces

Noetherian commutative ring with finite but not discrete spectrum

A question about a step in a proof of the Krull Intersection Theorem

Descending sequence for module with finite length

Numerical polynomial of modules with infinite length

Does a prime ideal contains an irreducible element?

Family of polynomials without common zeros

If $R$ is a reduced Noetherian ring, then every prime ideal in the total quotient ring $K(R)$ is maximal.

Check Noetherian-Artinian for $\mathbb{Q}[x]$ as a $\mathbb{Q}$-module and $\mathbb{Q}[x]$-module

A non-unit which is neither irreducible, nor a product of irreducibles.

$A$ is noetherian if and only if $A/\mathfrak{a}$ and $A/\mathfrak{b}$ are Noetherian

$ab=0 \Rightarrow b$ is nilpotent in a Noetherian ring

The length of a semisimple module is finite if it is finitely generated

Trending Questions

Popular # Hahtags

Popular Questions