Question

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

score 80 · Answer 1 · 2018-09-22 09:03:31

80

Views

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Published on 22 Sep 2018 - 9:03

score 301 · Answer 2 · 2018-09-27 12:06:39

301

Views

Prime ideals of set of continuous real valued functions on a compact hausdorff space

Published on 27 Sep 2018 - 12:06

score 45 · Answer 3 · 2018-09-30 14:58:28

45

Views

Finding a small prime ideal above an ideal

Published on 30 Sep 2018 - 14:58

score 72 · Answer 4 · 2026-03-25 03:04:18

72

Views

Is the property of being contained in an affine domain preserved by quotients (of prime ideals)?

Published on 25 Mar 2026 - 3:04

score 332 · Answer 5 · 2026-03-25 06:06:22

332

Views

There are finitely many minimal prime ideals in every $B\subseteq \operatorname{Spec} A $ for $A $ noetherian?

Published on 25 Mar 2026 - 6:06

score 218 · Answer 6 · 2018-10-09 13:17:23

218

Views

Is $(X^2+1,Y^2-2)\subset\mathbb{Q}[X,Y]$ a prime ideal? Is it maximal?

Published on 09 Oct 2018 - 13:17

score 350 · Answer 7 · 2018-10-09 19:59:04

350

Views

Proof that $(x-a,y-b)\subset\mathbb{R}[X,Y]/(X^2+Y^2-1)$ is maximal iff $a^2+b^2=1$

Published on 09 Oct 2018 - 19:59

score 55 · Answer 8 · 2018-10-13 16:48:10

55

Views

$B/\hat{B}$ is integral over $A / \hat{p}$ when $B$ is integral over $A$ and $\hat{B} \cap A = \hat{p}$.

Published on 13 Oct 2018 - 16:48

score 301 · Answer 9 · 2018-10-14 07:53:05

301

Views

Ideals of $\Bbb{Z}_4[X]/(X^2+X+1)$

Published on 14 Oct 2018 - 7:53

score 466 · Answer 10 · 2026-03-25 11:33:00

466

Views

Show that every maximal ideal of $R$ contains the element $a$.

Published on 25 Mar 2026 - 11:33

score 55 · Answer 11 · 2026-03-25 06:03:28

55

Views

Example of a principal prime ideal containing a proper prime non-zero ideal.

Published on 25 Mar 2026 - 6:03

score 30 · Answer 12 · 2018-10-17 02:44:49

30

Views

If $R$ is a ring such that $x^2=x$ $\forall x \in R$ and $I$ is a prime ideal. Show that $R/I$ has two elements

Published on 17 Oct 2018 - 2:44

score 75 · Answer 13 · 2026-03-25 11:16:06

75

Views

Showing that an ideal of $\mathbb{C}[x,y]$ is prime.

Published on 25 Mar 2026 - 11:16

score 125 · Answer 14 · 2026-03-26 01:12:41

125

Views

Minimal prime of a ring is contraction of some prime ideal of any extension of the ring.

Published on 26 Mar 2026 - 1:12

score 127 · Answer 15 · 2018-10-24 01:32:14

127

Views

What does “factor out” an ideal mean?

Published on 24 Oct 2018 - 1:32

List Question

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Prime ideals of set of continuous real valued functions on a compact hausdorff space

Finding a small prime ideal above an ideal

Is the property of being contained in an affine domain preserved by quotients (of prime ideals)?

There are finitely many minimal prime ideals in every $B\subseteq \operatorname{Spec} A $ for $A $ noetherian?

Is $(X^2+1,Y^2-2)\subset\mathbb{Q}[X,Y]$ a prime ideal? Is it maximal?

Proof that $(x-a,y-b)\subset\mathbb{R}[X,Y]/(X^2+Y^2-1)$ is maximal iff $a^2+b^2=1$

$B/\hat{B}$ is integral over $A / \hat{p}$ when $B$ is integral over $A$ and $\hat{B} \cap A = \hat{p}$.

Ideals of $\Bbb{Z}_4[X]/(X^2+X+1)$

Show that every maximal ideal of $R$ contains the element $a$.

Example of a principal prime ideal containing a proper prime non-zero ideal.

If $R$ is a ring such that $x^2=x$ $\forall x \in R$ and $I$ is a prime ideal. Show that $R/I$ has two elements

Showing that an ideal of $\mathbb{C}[x,y]$ is prime.

Minimal prime of a ring is contraction of some prime ideal of any extension of the ring.

What does “factor out” an ideal mean?

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