Question

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

score 314 · Answer 1 · 2026-03-23 03:14:10

314

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

Published on 23 Mar 2026 - 3:14

score 66 · Answer 2 · 2018-04-05 07:48:54

66

Views

Sum over prime and sum over prime ideals

Published on 05 Apr 2018 - 7:48

score 3.4k · Answer 3 · 2018-04-06 02:16:42

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 06 Apr 2018 - 2:16

score 143 · Answer 4 · 2018-04-07 09:40:28

143

Views

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

Published on 07 Apr 2018 - 9:40

score 177 · Answer 5 · 2018-04-09 16:11:59

177

Views

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

Published on 09 Apr 2018 - 16:11

score 50 · Answer 6 · 2018-04-10 08:19:15

50

Views

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

Published on 10 Apr 2018 - 8:19

score 95 · Answer 7 · 2026-03-21 21:14:13

95

Views

modular group, prime ideals

Published on 21 Mar 2026 - 21:14

score 412 · Answer 8 · 2026-03-25 06:10:41

412

Views

Show that a ring is a Dedekind domain

Published on 25 Mar 2026 - 6:10

score 399 · Answer 9 · 2018-04-18 04:09:09

399

Views

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

Published on 18 Apr 2018 - 4:09

score 2.2k · Answer 10 · 2018-04-18 15:08:58

2.2k

Views

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

Published on 18 Apr 2018 - 15:08

score 237 · Answer 11 · 2018-04-22 15:16:18

237

Views

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

Published on 22 Apr 2018 - 15:16

score 443 · Answer 12 · 2026-03-22 20:46:50

443

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 22 Mar 2026 - 20:46

score 439 · Answer 13 · 2018-04-24 16:26:59

439

Views

Maximal ideals of ring of continuous functions

Published on 24 Apr 2018 - 16:26

score 972 · Answer 14 · 2026-03-25 06:30:21

972

Views

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

Published on 25 Mar 2026 - 6:30

score 2.3k · Answer 15 · 2018-04-27 02:32:01

2.3k

Views

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

Published on 27 Apr 2018 - 2:32

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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