Question

Considering the prime ideals of $\Bbb Z$ to find the prime ideals of $\Bbb Z[x]$

score 201 · Answer 1 · 2026-04-03 06:38:21

201

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Considering the prime ideals of $\Bbb Z$ to find the prime ideals of $\Bbb Z[x]$

Published on 03 Apr 2026 - 6:38

score 139 · Answer 2 · 2015-05-31 21:49:08

139

Views

Show the ideal $\langle x^2+1, 5\rangle$ isn't maximal

Published on 31 May 2015 - 21:49

score 2k · Answer 3 · 2026-04-13 12:19:32

2k

Views

What is the class group of $\Bbb{Q}(\sqrt{-41})$?

Published on 13 Apr 2026 - 12:19

score 162 · Answer 4 · 2026-04-12 03:53:44

162

Views

The opposite of the right ideal in the ring of 2x2 matrices?

Published on 12 Apr 2026 - 3:53

score 106 · Answer 5 · 2015-06-02 19:41:07

106

Views

Why is $(XY-1)$ contained in $(X-a, Y-b)$ with $ab=1$?

Published on 02 Jun 2015 - 19:41

score 178 · Answer 6 · 2026-04-10 07:56:48

178

Views

Is an irreducible ideal in $R$ irreducible in $R[x]$?

Published on 10 Apr 2026 - 7:56

score 521 · Answer 7 · 2026-04-12 19:49:03

521

Views

Why is the dual of a filter an ideal?

Published on 12 Apr 2026 - 19:49

score 839 · Answer 8 · 2026-04-11 13:07:08

839

Views

Distributive law of ideals in $\mathbf Z$ relating $\cap$ and $+$.

Published on 11 Apr 2026 - 13:07

score 40 · Answer 9 · 2015-06-04 02:17:05

40

Views

If I is an ideal of $R$ ($R$ a ring) prove that $M_{n}(R/I)$ is isomorphic to $M_{n}(R)/M_{n}(I)$

Published on 04 Jun 2015 - 2:17

score 951 · Answer 10 · 2026-04-12 18:41:33

951

Views

If $I$ and $J$ are ideals in $R$, and $I$ is a subset of $J$, is $I$ also an ideal in $J$?

Published on 12 Apr 2026 - 18:41

score 118 · Answer 11 · 2026-04-12 13:12:51

118

Views

A question regarding one-sided right and left ideals (their calculation for matrix rings)

Published on 12 Apr 2026 - 13:12

score 171 · Answer 12 · 2026-04-04 05:19:02

171

Views

Lasker-Noether Theorem and Kummer-Dedekind

Published on 04 Apr 2026 - 5:19

score 277 · Answer 13 · 2026-04-12 23:29:14

277

Views

Tensor products of ideals

Published on 12 Apr 2026 - 23:29

score 3k · Answer 14 · 2015-06-06 13:58:24

3k

Views

Length of a ring? Lenth of a (right or left) ideal

Published on 06 Jun 2015 - 13:58

score 895 · Answer 15 · 2026-04-11 17:04:25

895

Views

Prove $I$ is non-principal ideal of $\mathbb{Z}[x]$?

Published on 11 Apr 2026 - 17:04

List Question

Considering the prime ideals of $\Bbb Z$ to find the prime ideals of $\Bbb Z[x]$

Show the ideal $\langle x^2+1, 5\rangle$ isn't maximal

What is the class group of $\Bbb{Q}(\sqrt{-41})$?

The opposite of the right ideal in the ring of 2x2 matrices?

Why is $(XY-1)$ contained in $(X-a, Y-b)$ with $ab=1$?

Is an irreducible ideal in $R$ irreducible in $R[x]$?

Why is the dual of a filter an ideal?

Distributive law of ideals in $\mathbf Z$ relating $\cap$ and $+$.

If I is an ideal of $R$ ($R$ a ring) prove that $M_{n}(R/I)$ is isomorphic to $M_{n}(R)/M_{n}(I)$

If $I$ and $J$ are ideals in $R$, and $I$ is a subset of $J$, is $I$ also an ideal in $J$?

A question regarding one-sided right and left ideals (their calculation for matrix rings)

Lasker-Noether Theorem and Kummer-Dedekind

Tensor products of ideals

Length of a ring? Lenth of a (right or left) ideal

Prove $I$ is non-principal ideal of $\mathbb{Z}[x]$?

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