Question

Filling in Proof: Well-definedness of depth(I,M).

score 123 · Answer 1 · 2026-04-14 05:19:56

123

Views

Filling in Proof: Well-definedness of depth(I,M).

Published on 14 Apr 2026 - 5:19

score 60 · Answer 2 · 2026-04-13 05:25:48

60

Views

Regarding taking powers of prime ideals in a ring

Published on 13 Apr 2026 - 5:25

score 1.5k · Answer 3 · 2026-04-13 06:58:40

1.5k

Views

How many ideals in a ring R turned into Z/nZ

Published on 13 Apr 2026 - 6:58

score 291 · Answer 4 · 2026-04-10 23:05:55

291

Views

Example of associated ideal in primary decomposition

Published on 10 Apr 2026 - 23:05

score 234 · Answer 5 · 2026-04-17 01:52:33

234

Views

Ideal of a product ring?

Published on 17 Apr 2026 - 1:52

score 682 · Answer 6 · 2026-04-14 15:16:38

682

Views

Are the following two ideals equal? How to prove it, or show they are not?

Published on 14 Apr 2026 - 15:16

score 242 · Answer 7 · 2026-04-16 04:08:55

242

Views

How else can I tell I can do this with $5$ but not $2$ or $3$ in $\textbf{Z}[\sqrt{30}]$?

Published on 16 Apr 2026 - 4:08

score 1.3k · Answer 8 · 2026-04-13 03:40:03

1.3k

Views

To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field

Published on 13 Apr 2026 - 3:40

score 1.5k · Answer 9 · 2026-04-14 18:36:09

1.5k

Views

A conceptual question in ring theory?

Published on 14 Apr 2026 - 18:36

score 358 · Answer 10 · 2026-04-12 07:52:51

358

Views

A uniqueness theorem for primary decomposition

Published on 12 Apr 2026 - 7:52

score 139 · Answer 11 · 2026-04-08 21:01:46

139

Views

Bases of free module of rank $2$

Published on 08 Apr 2026 - 21:01

score 56 · Answer 12 · 2026-04-10 02:04:03

56

Views

Can a Nonzero Element in $\mathbb Z[\omega]$ be Divisible by Arbitrarily Large Powers of $1-\omega$.

Published on 10 Apr 2026 - 2:04

score 9.9k · Answer 13 · 2026-04-23 01:47:49

9.9k

Views

$R=\{ m+nr\sqrt{2} \mid m,n \in \Bbb Z \}$ and $I_{a,b}=\{ ma+n(b+r\sqrt{2}) \mid m,n \in \Bbb Z \}$

Published on 23 Apr 2026 - 1:47

score 740 · Answer 14 · 2026-03-30 04:41:21

740

Views

localized at associated prime of an ideal

Published on 30 Mar 2026 - 4:41

score 59 · Answer 15 · 2026-04-15 21:56:58

59

Views

Find a polynomial $g(x) \in \Bbb Q [x]$ such that $I = g(x) $

Published on 15 Apr 2026 - 21:56

List Question

Filling in Proof: Well-definedness of depth(I,M).

Regarding taking powers of prime ideals in a ring

How many ideals in a ring R turned into Z/nZ

Example of associated ideal in primary decomposition

Ideal of a product ring?

Are the following two ideals equal? How to prove it, or show they are not?

How else can I tell I can do this with $5$ but not $2$ or $3$ in $\textbf{Z}[\sqrt{30}]$?

To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field

A conceptual question in ring theory?

A uniqueness theorem for primary decomposition

Bases of free module of rank $2$

Can a Nonzero Element in $\mathbb Z[\omega]$ be Divisible by Arbitrarily Large Powers of $1-\omega$.

$R=\{ m+nr\sqrt{2} \mid m,n \in \Bbb Z \}$ and $I_{a,b}=\{ ma+n(b+r\sqrt{2}) \mid m,n \in \Bbb Z \}$

localized at associated prime of an ideal

Find a polynomial $g(x) \in \Bbb Q [x]$ such that $I = g(x) $

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