Question

Local, factorization domain with principal maximal ideal is a PID?

score 324 · Answer 1 · 2026-04-29 12:43:13

324

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Local, factorization domain with principal maximal ideal is a PID?

Published on 29 Apr 2026 - 12:43

score 68 · Answer 2 · 2026-04-11 17:13:47

68

Views

Sum over prime and sum over prime ideals

Published on 11 Apr 2026 - 17:13

score 3.4k · Answer 3 · 2026-04-13 20:11:07

3.4k

Views

Prove the intersection of two prime ideals is prime if and only if one is a subset of the other?

Published on 13 Apr 2026 - 20:11

score 146 · Answer 4 · 2026-04-09 18:21:53

146

Views

Definition of Maximal Ideal leading to a maximal ideal being a subset of another ideal

Published on 09 Apr 2026 - 18:21

score 180 · Answer 5 · 2026-04-14 19:49:54

180

Views

True or False: Let A $\supseteq$ R be an integral ring extension of R, with A being a domain...

Published on 14 Apr 2026 - 19:49

score 53 · Answer 6 · 2026-04-15 14:12:44

53

Views

Is $(X^2+1)$ prime ideal in $\mathbb{R}[X,Y]$?

Published on 15 Apr 2026 - 14:12

score 108 · Answer 7 · 2026-05-10 09:21:49

108

Views

modular group, prime ideals

Published on 10 May 2026 - 9:21

score 414 · Answer 8 · 2026-04-15 04:10:57

414

Views

Show that a ring is a Dedekind domain

Published on 15 Apr 2026 - 4:10

score 402 · Answer 9 · 2026-04-16 16:54:59

402

Views

Is $\langle x^2+1,y\rangle$ maximal or prime in $\Bbb{R}[x,y]$ or $\Bbb{C}[x,y]$

Published on 16 Apr 2026 - 16:54

score 2.2k · Answer 10 · 2026-04-14 00:33:54

2.2k

Views

Finding all the maximal ideals of $C([0,1])$ and also prime ideals in it which are not maximal

Published on 14 Apr 2026 - 0:33

score 240 · Answer 11 · 2026-04-15 11:36:14

240

Views

Is $\mathbb{Z}[x]/\langle x^2+x+1, 2\rangle$ a field of order 4?

Published on 15 Apr 2026 - 11:36

score 450 · Answer 12 · 2026-05-02 09:40:17

450

Views

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

Published on 02 May 2026 - 9:40

score 442 · Answer 13 · 2026-04-11 16:35:31

442

Views

Maximal ideals of ring of continuous functions

Published on 11 Apr 2026 - 16:35

score 974 · Answer 14 · 2026-04-15 03:37:01

974

Views

How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?

Published on 15 Apr 2026 - 3:37

score 2.3k · Answer 15 · 2026-04-13 21:12:25

2.3k

Views

One question regarding a subring of $Q$ which will contain 1.

Published on 13 Apr 2026 - 21:12

List Question

Local, factorization domain with principal maximal ideal is a PID?

Sum over prime and sum over prime ideals

Prove the intersection of two prime ideals is prime if and only if one is a subset of the other?

Definition of Maximal Ideal leading to a maximal ideal being a subset of another ideal

True or False: Let A $\supseteq$ R be an integral ring extension of R, with A being a domain...

Is $(X^2+1)$ prime ideal in $\mathbb{R}[X,Y]$?

modular group, prime ideals

Show that a ring is a Dedekind domain

Is $\langle x^2+1,y\rangle$ maximal or prime in $\Bbb{R}[x,y]$ or $\Bbb{C}[x,y]$

Finding all the maximal ideals of $C([0,1])$ and also prime ideals in it which are not maximal

Is $\mathbb{Z}[x]/\langle x^2+x+1, 2\rangle$ a field of order 4?

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

Maximal ideals of ring of continuous functions

How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?

One question regarding a subring of $Q$ which will contain 1.

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