Question

In $\mathbb{Z}[t]$, $Q = (4, t)$ is not a power of $M = (2, t)$

score 45 · Answer 1 · 2014-03-24 23:51:37

45

Views

In $\mathbb{Z}[t]$, $Q = (4, t)$ is not a power of $M = (2, t)$

Published on 24 Mar 2014 - 23:51

score 194 · Answer 2 · 2026-03-25 12:24:15

194

Views

Properties induced by surjective ring homomorphism between two integral domains

Published on 25 Mar 2026 - 12:24

score 28 · Answer 3 · 2014-03-25 21:01:16

28

Views

Maximal element of $(I : x)$, where $x$ is in $A - I$, is prime belonging to $I$

Published on 25 Mar 2014 - 21:01

score 366 · Answer 4 · 2014-03-26 19:46:41

366

Views

Prime, Maximal, and Radical Ideals in $\mathbb{C}[x]$ and $\mathbb{R}[x]$

Published on 26 Mar 2014 - 19:46

score 98 · Answer 5 · 2026-03-29 16:20:09

98

Views

Question about some details of a proof

Published on 29 Mar 2026 - 16:20

score 1.1k · Answer 6 · 2026-03-29 16:21:27

1.1k

Views

What's the motivation of the definition of primary ideals?

Published on 29 Mar 2026 - 16:21

score 468 · Answer 7 · 2014-03-27 06:13:09

468

Views

Ring theory question: $I=\langle x,2 \rangle$ prime/maximal ideal in $\mathbb Z[x]$?

Published on 27 Mar 2014 - 6:13

score 2.4k · Answer 8 · 2014-03-27 10:23:37

2.4k

Views

Prime ideals in formal power series

Published on 27 Mar 2014 - 10:23

score 145 · Answer 9 · 2014-03-27 12:32:03

145

Views

Associated primes and their heights

Published on 27 Mar 2014 - 12:32

score 131 · Answer 10 · 2014-03-27 17:23:40

131

Views

If $I\leq K[X_0,\dots,X_n]$ for $K$ a field is an ideal whose radical is homogeneous, is it always the case that $I$ is homogeneous?

Published on 27 Mar 2014 - 17:23

score 107 · Answer 11 · 2014-03-27 18:27:35

107

Views

Give an example of an ideal in $\mathbb{Z}\times\mathbb{Z}$ which is maximal.

Published on 27 Mar 2014 - 18:27

score 204 · Answer 12 · 2026-03-27 22:02:27

204

Views

Let $I= (X_1,X_2) \cap (X_3,X_4)$. Is $ara(I)≥3$? Is $ara(I)≥4$?

Published on 27 Mar 2026 - 22:02

score 987 · Answer 13 · 2026-03-25 04:40:25

987

Views

A monomial ideal, $I =\langle xy, xz, yz\rangle$, is radical

Published on 25 Mar 2026 - 4:40

score 259 · Answer 14 · 2026-03-25 11:16:42

259

Views

When does coprimality carry over to the base ring in an integral extension of Dedekind domains?

Published on 25 Mar 2026 - 11:16

score 118 · Answer 15 · 2014-03-29 12:19:49

118

Views

Prime ideal in a ring with some property is maximal

Published on 29 Mar 2014 - 12:19

List Question

In $\mathbb{Z}[t]$, $Q = (4, t)$ is not a power of $M = (2, t)$

Properties induced by surjective ring homomorphism between two integral domains

Maximal element of $(I : x)$, where $x$ is in $A - I$, is prime belonging to $I$

Prime, Maximal, and Radical Ideals in $\mathbb{C}[x]$ and $\mathbb{R}[x]$

Question about some details of a proof

What's the motivation of the definition of primary ideals?

Ring theory question: $I=\langle x,2 \rangle$ prime/maximal ideal in $\mathbb Z[x]$?

Prime ideals in formal power series

Associated primes and their heights

If $I\leq K[X_0,\dots,X_n]$ for $K$ a field is an ideal whose radical is homogeneous, is it always the case that $I$ is homogeneous?

Give an example of an ideal in $\mathbb{Z}\times\mathbb{Z}$ which is maximal.

Let $I= (X_1,X_2) \cap (X_3,X_4)$. Is $ara(I)≥3$? Is $ara(I)≥4$?

A monomial ideal, $I =\langle xy, xz, yz\rangle$, is radical

When does coprimality carry over to the base ring in an integral extension of Dedekind domains?

Prime ideal in a ring with some property is maximal

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