Question

$R_{n}[x]$ is $R-$module

score 256 · Answer 1 · 2026-03-25 09:13:44

256

Views

$R_{n}[x]$ is $R-$module

Published on 25 Mar 2026 - 9:13

score 529 · Answer 2 · 2020-06-15 21:42:48

529

Views

Help proving $I^2$ is a principal ideal and $I$ isn't with $I=(x,y-1)$ in the ring $R := \mathbb{R}[x,y]/(x^2+y^2-1)$

Published on 15 Jun 2020 - 21:42

score 73 · Answer 3 · 2020-06-16 00:41:41

73

Views

Rescuscitaton of "Values of c for which the given quotient ring is a field."

Published on 16 Jun 2020 - 0:41

score 32 · Answer 4 · 2020-06-17 22:56:55

32

Views

How to find the correct quotient ring $\mathbb{Z}[x]/p(x)$ (similar to $\mathbb{Z}[x]/(x^n-1)$)?

Published on 17 Jun 2020 - 22:56

score 41 · Answer 5 · 2020-07-13 13:59:16

41

Views

Can we give Gauss's Lemma (polynomial) over the integers without the primitive condition?

Published on 13 Jul 2020 - 13:59

score 905 · Answer 6 · 2020-07-16 16:24:27

905

Views

Exhibit the ideals of $\mathbb{Z}[x]/(2,x^3+1)$

Published on 16 Jul 2020 - 16:24

score 434 · Answer 7 · 2026-02-23 10:02:51

434

Views

How can I understand a hypocycloid as an ideal in a polynomial ring?

Published on 23 Feb 2026 - 10:02

score 233 · Answer 8 · 2020-07-19 01:29:32

233

Views

Can a principal ideal generated by a polynomial with unit leading coefficient contain nonzero elements of lesser degree?

Published on 19 Jul 2020 - 1:29

score 113 · Answer 9 · 2026-03-25 16:03:57

113

Views

If $I$ is generated by a regular sequence, $\bigoplus_{n \geq 0}I^{n}/I^{n+1}$ is isomorphic to a polynomial ring

Published on 25 Mar 2026 - 16:03

score 57 · Answer 10 · 2023-02-10 21:48:04

57

Views

is there a ring map from $\mathbb{Z}[e^{2\pi i/(p-1)}]$ to $\mathbb{Z}$ mod p where p prime?

Published on 10 Feb 2023 - 21:48

score 45 · Answer 11 · 2023-02-25 01:30:31

45

Views

Multiplicity of a root is well-defined

Published on 25 Feb 2023 - 1:30

score 38 · Answer 12 · 2023-02-25 15:16:28

38

Views

What does it mean to find minimal polynomial of $\beta$ over some $F[\alpha]$?

Published on 25 Feb 2023 - 15:16

score 81 · Answer 13 · 2023-02-27 01:01:13

81

Views

Group Isomorphism from $\mathbb{Q}[X]^2$ to $\mathbb{Q}[X]$.

Published on 27 Feb 2023 - 1:01

score 189 · Answer 14 · 2023-03-02 09:12:05

189

Views

Product of two polynomials is a polynomial with coefficients being zero for certain degrees

Published on 02 Mar 2023 - 9:12

score 57 · Answer 15 · 2023-03-05 07:37:20

57

Views

Algebra with Coset Representatives

Published on 05 Mar 2023 - 7:37

List Question

$R_{n}[x]$ is $R-$module

Help proving $I^2$ is a principal ideal and $I$ isn't with $I=(x,y-1)$ in the ring $R := \mathbb{R}[x,y]/(x^2+y^2-1)$

Rescuscitaton of "Values of c for which the given quotient ring is a field."

How to find the correct quotient ring $\mathbb{Z}[x]/p(x)$ (similar to $\mathbb{Z}[x]/(x^n-1)$)?

Can we give Gauss's Lemma (polynomial) over the integers without the primitive condition?

Exhibit the ideals of $\mathbb{Z}[x]/(2,x^3+1)$

How can I understand a hypocycloid as an ideal in a polynomial ring?

Can a principal ideal generated by a polynomial with unit leading coefficient contain nonzero elements of lesser degree?

If $I$ is generated by a regular sequence, $\bigoplus_{n \geq 0}I^{n}/I^{n+1}$ is isomorphic to a polynomial ring

is there a ring map from $\mathbb{Z}[e^{2\pi i/(p-1)}]$ to $\mathbb{Z}$ mod p where p prime?

Multiplicity of a root is well-defined

What does it mean to find minimal polynomial of $\beta$ over some $F[\alpha]$?

Group Isomorphism from $\mathbb{Q}[X]^2$ to $\mathbb{Q}[X]$.

Product of two polynomials is a polynomial with coefficients being zero for certain degrees

Algebra with Coset Representatives

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