Question

Is this another way of stating the Chinese Remainder Theorem?

score 88 · Answer 1 · 2026-04-10 14:00:28

88

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Is this another way of stating the Chinese Remainder Theorem?

Published on 10 Apr 2026 - 14:00

score 42 · Answer 2 · 2026-04-14 22:06:20

42

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Let $\phi\in \mathbb{C}[V]$. Show that $\mathbf{V}_V(\phi)=\emptyset$ if and only if $\phi$ is invertible in $\mathbb{C}[V]$.

Published on 14 Apr 2026 - 22:06

score 181 · Answer 3 · 2026-04-15 12:42:28

181

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If a set $S$ generates an ideal $I\subset F[x_1,x_2,\ldots,x_n]$, then there is a finite subset $S_0 \subseteq S$ which generates $I$

Published on 15 Apr 2026 - 12:42

score 790 · Answer 4 · 2026-04-13 18:05:11

790

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If $R$ is a simple Artinian ring, then when is a finitely generated module free?

Published on 13 Apr 2026 - 18:05

score 167 · Answer 5 · 2026-04-15 12:42:28

167

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Looking for an example of an ideal contained in the union of other ideals, but not in any ideal individually

Published on 15 Apr 2026 - 12:42

score 57 · Answer 6 · 2026-04-15 12:51:15

57

Views

How do I prove that primary ideals satisfy this property?

Published on 15 Apr 2026 - 12:51

score 182 · Answer 7 · 2026-04-15 12:44:36

182

Views

Determinant of the change of basis for fractional ideal

Published on 15 Apr 2026 - 12:44

score 404 · Answer 8 · 2026-04-15 12:52:08

404

Views

Centre of matrix ring over skew field

Published on 15 Apr 2026 - 12:52

score 582 · Answer 9 · 2026-04-15 12:44:36

582

Views

Ideal of polynomials vanishing on $\{(x,y): x^2+y^2=1, x \neq 0 \}$

Published on 15 Apr 2026 - 12:44

score 530 · Answer 10 · 2026-04-13 05:09:45

530

Views

Prove socle is ideal

Published on 13 Apr 2026 - 5:09

score 98 · Answer 11 · 2026-04-14 08:10:42

98

Views

Compactum of Banach algebra

Published on 14 Apr 2026 - 8:10

score 934 · Answer 12 · 2026-04-11 10:57:14

934

Views

Finding all ideals in a finite ring

Published on 11 Apr 2026 - 10:57

score 73 · Answer 13 · 2026-04-15 12:50:24

73

Views

A question about 1.0.3 in Grothendieck's EGA

Published on 15 Apr 2026 - 12:50

score 104 · Answer 14 · 2026-04-15 12:42:03

104

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Is the ideal $\{2m + (1 + \sqrt{-6})n:m, n\in\mathbb{Z}\}$ principal in $\mathbb{Z}[\sqrt{-6}]$?

Published on 15 Apr 2026 - 12:42

score 123 · Answer 15 · 2026-04-14 10:48:30

123

Views

Factoring ideals in algebraic number rings using Dedekind's theorem

Published on 14 Apr 2026 - 10:48

List Question

Is this another way of stating the Chinese Remainder Theorem?

Let $\phi\in \mathbb{C}[V]$. Show that $\mathbf{V}_V(\phi)=\emptyset$ if and only if $\phi$ is invertible in $\mathbb{C}[V]$.

If a set $S$ generates an ideal $I\subset F[x_1,x_2,\ldots,x_n]$, then there is a finite subset $S_0 \subseteq S$ which generates $I$

If $R$ is a simple Artinian ring, then when is a finitely generated module free?

Looking for an example of an ideal contained in the union of other ideals, but not in any ideal individually

How do I prove that primary ideals satisfy this property?

Determinant of the change of basis for fractional ideal

Centre of matrix ring over skew field

Ideal of polynomials vanishing on $\{(x,y): x^2+y^2=1, x \neq 0 \}$

Prove socle is ideal

Compactum of Banach algebra

Finding all ideals in a finite ring

A question about 1.0.3 in Grothendieck's EGA

Is the ideal $\{2m + (1 + \sqrt{-6})n:m, n\in\mathbb{Z}\}$ principal in $\mathbb{Z}[\sqrt{-6}]$?

Factoring ideals in algebraic number rings using Dedekind's theorem

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