Question

Are there uncountably many subrings of $\mathbb Z/p\mathbb Z[x]?$

score 436 · Answer 1 · 2022-07-15 14:46:53

436

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Are there uncountably many subrings of $\mathbb Z/p\mathbb Z[x]?$

Published on 15 Jul 2022 - 14:46

score 288 · Answer 2 · 2022-07-27 12:11:04

288

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Universal properties in ring theory

Published on 27 Jul 2022 - 12:11

score 44 · Answer 3 · 2022-07-30 04:39:46

44

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Let $f_n(x,y,z)＝x^n＋y^n-α^n-β^n$ $α＝\frac{x＋y＋\sqrt{(x＋y)^2-4z^2}}2$, $β＝\frac{x＋y-\sqrt{(x＋y)^2-4z^2}}2$

Published on 30 Jul 2022 - 4:39

score 63 · Answer 4 · 2026-03-27 17:52:36

63

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An elegant closure property of uniform distributions?

Published on 27 Mar 2026 - 17:52

score 271 · Answer 5 · 2026-03-27 10:44:27

271

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Isomorphism between two quotient ring

Published on 27 Mar 2026 - 10:44

score 74 · Answer 6 · 2026-03-27 19:30:34

74

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Finding kernel of a ring homomorphism

Published on 27 Mar 2026 - 19:30

score 147 · Answer 7 · 2022-09-09 07:19:13

147

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The Chain Rule in Multivariate Partial Hasse Derivatives

Published on 09 Sep 2022 - 7:19

score 52 · Answer 8 · 2022-09-30 15:06:42

52

Views

Exchanging integral and transcendental extensions of $\mathbb{Q}$

Published on 30 Sep 2022 - 15:06

score 40 · Answer 9 · 2022-10-08 05:31:20

40

Views

My guess for the zero ideal in F[x], where $F$ is a field.

Published on 08 Oct 2022 - 5:31

score 32 · Answer 10 · 2026-02-23 06:07:37

32

Views

Poynomial rings and algebraically independence

Published on 23 Feb 2026 - 6:07

score 108 · Answer 11 · 2026-02-23 10:49:02

108

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Statement on resultants: for polynomials A, B, res(A, B) belongs to the ideal generated by A and B

Published on 23 Feb 2026 - 10:49

score 133 · Answer 12 · 2022-11-23 08:19:56

133

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Let I := {a_1X + · · · + a_nXn : n ∈ N, a_i ∈ Z for all 1 ≤ i ≤ n}. Show that I is a prime ideal but not a maximal ideal of Z[X].

Published on 23 Nov 2022 - 8:19

score 87 · Answer 13 · 2026-03-28 07:59:29

87

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Proving the existence of an homomorphism $k[x,x^{-1}] \to R$ where $R$ is a ring containing $k$ and a unit

Published on 28 Mar 2026 - 7:59

score 78 · Answer 14 · 2022-11-30 02:08:42

78

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Show this ideal in polynomial ring of four variable is finitely generated free module over polynomial in two variables

Published on 30 Nov 2022 - 2:08

score 116 · Answer 15 · 2026-03-27 22:52:59

116

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Questions about $K[x_1, \ldots , x_4]/(x_1x_2-x_3x_4)$ being a graded ring

Published on 27 Mar 2026 - 22:52

List Question

Are there uncountably many subrings of $\mathbb Z/p\mathbb Z[x]?$

Universal properties in ring theory

Let $f_n(x,y,z)＝x^n＋y^n-α^n-β^n$ $α＝\frac{x＋y＋\sqrt{(x＋y)^2-4z^2}}2$, $β＝\frac{x＋y-\sqrt{(x＋y)^2-4z^2}}2$

An elegant closure property of uniform distributions?

Isomorphism between two quotient ring

Finding kernel of a ring homomorphism

The Chain Rule in Multivariate Partial Hasse Derivatives

Exchanging integral and transcendental extensions of $\mathbb{Q}$

My guess for the zero ideal in F[x], where $F$ is a field.

Poynomial rings and algebraically independence

Statement on resultants: for polynomials A, B, res(A, B) belongs to the ideal generated by A and B

Let I := {a_1X + · · · + a_nXn : n ∈ N, a_i ∈ Z for all 1 ≤ i ≤ n}. Show that I is a prime ideal but not a maximal ideal of Z[X].

Proving the existence of an homomorphism $k[x,x^{-1}] \to R$ where $R$ is a ring containing $k$ and a unit

Show this ideal in polynomial ring of four variable is finitely generated free module over polynomial in two variables

Questions about $K[x_1, \ldots , x_4]/(x_1x_2-x_3x_4)$ being a graded ring

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