Question

Quotient ring Isomorphism in dedekind domain

score 80 · Answer 1 · 2026-03-26 06:32:55

80

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Quotient ring Isomorphism in dedekind domain

Published on 26 Mar 2026 - 6:32

score 46 · Answer 2 · 2020-12-17 02:13:17

46

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Subring $R \subset \Bbb{Q}[X]$. Evaluation hom. $R/(f) \to \Bbb{Z}/(f(a))$ gives me a weird result (not true), but everything looks correct.

Published on 17 Dec 2020 - 2:13

score 353 · Answer 3 · 2020-12-24 22:30:20

353

Views

To what ring is $\mathbb{Z}[X,Y,Z]/(X-Y, X^3-Z)$ isomorphic?

Published on 24 Dec 2020 - 22:30

score 108 · Answer 4 · 2020-12-25 04:52:57

108

Views

Proving following ring isomorphism

Published on 25 Dec 2020 - 4:52

score 113 · Answer 5 · 2026-02-23 02:56:50

113

Views

Define an isomorphism between finite boolean ring and $\mathbb{Z}_2\times \cdots\times \mathbb{Z}_2$

Published on 23 Feb 2026 - 2:56

score 70 · Answer 6 · 2021-01-28 13:56:47

70

Views

Calculate $\mathbb{F}_2(\alpha, \beta)$ where $\alpha^3 + \alpha + 1 = 0, \beta^2 + \beta + 1 = 0$

Published on 28 Jan 2021 - 13:56

score 108 · Answer 7 · 2021-01-28 20:02:39

108

Views

Uniqueness of an Isomorphism

Published on 28 Jan 2021 - 20:02

score 1k · Answer 8 · 2026-03-25 20:42:06

1k

Views

Ring of integer-valued polynomials Int(X) is not isomorphic to Z[X]

Published on 25 Mar 2026 - 20:42

score 203 · Answer 9 · 2026-03-26 17:46:18

203

Views

Isomorphism Between Cyclic group algebra and Quotient Polynomial Ring

Published on 26 Mar 2026 - 17:46

score 153 · Answer 10 · 2021-02-17 20:31:54

153

Views

Why does the argument that $\mathbb{Q}[x] / \langle x^{2}\rangle \simeq \mathbb{Q}[x] / \langle x^{2} - 1\rangle $ not apply in $\mathbb{Z_2}$?

Published on 17 Feb 2021 - 20:31

score 64 · Answer 11 · 2021-02-21 04:48:58

64

Views

A problem about ring isomorphism?

Published on 21 Feb 2021 - 4:48

score 62 · Answer 12 · 2021-03-09 15:54:12

62

Views

$\mathbb{Z}[\sqrt{2}]/(3-\sqrt{2}) \simeq \mathbb{Z}_n$

Published on 09 Mar 2021 - 15:54

score 671 · Answer 13 · 2021-03-14 19:16:53

671

Views

The quotient group of a ring and the intersection of an ideal is isomorphic to a subring of the product of the quotient ring and each ideal

Published on 14 Mar 2021 - 19:16

score 216 · Answer 14 · 2021-03-16 10:26:44

216

Views

Ring Isomorphism between integer ring and polynomial ring

Published on 16 Mar 2021 - 10:26

score 171 · Answer 15 · 2021-03-16 16:11:49

171

Views

Isomorphism of quotient rings with Cartesian product

Published on 16 Mar 2021 - 16:11

List Question

Quotient ring Isomorphism in dedekind domain

Subring $R \subset \Bbb{Q}[X]$. Evaluation hom. $R/(f) \to \Bbb{Z}/(f(a))$ gives me a weird result (not true), but everything looks correct.

To what ring is $\mathbb{Z}[X,Y,Z]/(X-Y, X^3-Z)$ isomorphic?

Proving following ring isomorphism

Define an isomorphism between finite boolean ring and $\mathbb{Z}_2\times \cdots\times \mathbb{Z}_2$

Calculate $\mathbb{F}_2(\alpha, \beta)$ where $\alpha^3 + \alpha + 1 = 0, \beta^2 + \beta + 1 = 0$

Uniqueness of an Isomorphism

Ring of integer-valued polynomials Int(X) is not isomorphic to Z[X]

Isomorphism Between Cyclic group algebra and Quotient Polynomial Ring

Why does the argument that $\mathbb{Q}[x] / \langle x^{2}\rangle \simeq \mathbb{Q}[x] / \langle x^{2} - 1\rangle $ not apply in $\mathbb{Z_2}$?

A problem about ring isomorphism?

$\mathbb{Z}[\sqrt{2}]/(3-\sqrt{2}) \simeq \mathbb{Z}_n$

The quotient group of a ring and the intersection of an ideal is isomorphic to a subring of the product of the quotient ring and each ideal

Ring Isomorphism between integer ring and polynomial ring

Isomorphism of quotient rings with Cartesian product

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