Question

Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$

score 607 · Answer 1 · 2026-04-16 23:14:11

607

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Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$

Published on 16 Apr 2026 - 23:14

score 58 · Answer 2 · 2026-04-13 22:50:37

58

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How does it follows that A normal local ring of altitude 1 is a valuation ring

Published on 13 Apr 2026 - 22:50

score 54 · Answer 3 · 2026-04-16 12:54:32

54

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$I$-adic topology on a topological $k$-algebra $R$.

Published on 16 Apr 2026 - 12:54

score 133 · Answer 4 · 2026-04-09 16:48:21

133

Views

Subring of $\mathbb{Z}[x,y]$ generated by $\{yx^i | i\geq 1\}$ is not Noetherian

Published on 09 Apr 2026 - 16:48

score 200 · Answer 5 · 2026-03-25 19:02:18

200

Views

On the flatness of a particular ring map on two variable polynomial ring

Published on 25 Mar 2026 - 19:02

score 445 · Answer 6 · 2026-03-25 11:11:54

445

Views

Over which Noetherian local rings are any second syzygy module reflexive?

Published on 25 Mar 2026 - 11:11

score 107 · Answer 7 · 2026-04-12 21:42:24

107

Views

Ring of invariants of affine ring over field of any characteristic is also affine?

Published on 12 Apr 2026 - 21:42

score 322 · Answer 8 · 2026-04-10 18:51:28

322

Views

Coordinate ring of a basic open set

Published on 10 Apr 2026 - 18:51

score 47 · Answer 9 · 2026-04-12 17:39:11

47

Views

Problem involving reductions of ideals with assumption on characteristic

Published on 12 Apr 2026 - 17:39

score 968 · Answer 10 · 2026-04-13 02:49:20

968

Views

Maximal Ideals in Tensor product of Algebras

Published on 13 Apr 2026 - 2:49

score 151 · Answer 11 · 2026-04-16 16:57:09

151

Views

$k[x,y]_{2\bullet}\cong k[z_0,z_1,z_2]/(z_2z_0-z_1^2)$

Published on 16 Apr 2026 - 16:57

score 92 · Answer 12 · 2026-04-14 19:43:54

92

Views

Determinant of $2n\times 2n$ symmetric matrix equal to the square of a polynomial

Published on 14 Apr 2026 - 19:43

score 126 · Answer 13 · 2026-04-16 03:45:38

126

Views

Prove that the $R$-module $I \bigoplus I$ is free on the generators $(2 ,1+\sqrt{-5})$ and $(1-\sqrt{-5},2)$.

Published on 16 Apr 2026 - 3:45

score 138 · Answer 14 · 2026-04-16 23:54:04

138

Views

If an infinite ring has zero divisors, must it have infinitely many distinct zero divisors with the same annihilator?

Published on 16 Apr 2026 - 23:54

score 69 · Answer 15 · 2026-04-14 16:14:49

69

Views

Finding an integral subring of $k[x_1, ..., x_n]/P$ generated by $n$ algebraically independent elements

Published on 14 Apr 2026 - 16:14

List Question

Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$

How does it follows that A normal local ring of altitude 1 is a valuation ring

$I$-adic topology on a topological $k$-algebra $R$.

Subring of $\mathbb{Z}[x,y]$ generated by $\{yx^i | i\geq 1\}$ is not Noetherian

On the flatness of a particular ring map on two variable polynomial ring

Over which Noetherian local rings are any second syzygy module reflexive?

Ring of invariants of affine ring over field of any characteristic is also affine?

Coordinate ring of a basic open set

Problem involving reductions of ideals with assumption on characteristic

Maximal Ideals in Tensor product of Algebras

$k[x,y]_{2\bullet}\cong k[z_0,z_1,z_2]/(z_2z_0-z_1^2)$

Determinant of $2n\times 2n$ symmetric matrix equal to the square of a polynomial

Prove that the $R$-module $I \bigoplus I$ is free on the generators $(2 ,1+\sqrt{-5})$ and $(1-\sqrt{-5},2)$.

If an infinite ring has zero divisors, must it have infinitely many distinct zero divisors with the same annihilator?

Finding an integral subring of $k[x_1, ..., x_n]/P$ generated by $n$ algebraically independent elements

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