List questions from ring-theory

Published on 17 May 2019 - 1:06

124

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Is there a ring whose total ring of fractions is not a field?

Published on 07 Apr 2026 - 8:22

108

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Is every point in the spectrum of a ring $R$ closed?

Published on 25 Mar 2026 - 12:26

69

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An example of an argument using generic points to prove a "closed" condition

Published on 17 May 2019 - 3:25

68

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Embedding a polynomial ring into $\mathbb{Z}_{n^s}$

Published on 26 Mar 2026 - 12:52

28

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The class of left serial rings is closed under extensions

Published on 02 Apr 2026 - 16:14

570

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show $\mathbb{C} [x,y]/(xy-1)$ is a principal ideal domain

Published on 27 Mar 2026 - 18:26

50

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Let $K$ be a ring. Then $K[X_1,X_2] \cong K[X_1][X_2]$

Published on 26 Mar 2026 - 2:55

101

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Irreducibility of $t ^ { 4 } + t - 1$ over $\mathbb{F}_{25}$

Published on 29 Mar 2026 - 3:53

370

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Number of ring homomorphism from $\Bbb Z[x,y]$ to $\Bbb F_2[x]/(x^3+x^2+x+1)$

Published on 25 Mar 2026 - 9:43

38

Views

Two questions on the ring S := {a+bs : a,b ∈ R}

Published on 07 Apr 2026 - 8:21

53

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Isomorphism between C and another ring

Published on 26 Mar 2026 - 2:52

447

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Describe the set of quadratic integers α in Q[sqrt−3] for which α ̄ and α are associates.

Published on 18 May 2019 - 18:50

1.6k

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Image of an ideal under a surjective ring homomorphism is an ideal

Published on 25 Mar 2026 - 11:15

151

Views

Showing that $\sqrt{5} \in \mathbb{Q}(\sqrt[p]{2} + \sqrt{5})$

Published on 31 Mar 2026 - 20:26

List Question

What's a finite non-commutative ring?

Is there a ring whose total ring of fractions is not a field?

Is every point in the spectrum of a ring $R$ closed?

An example of an argument using generic points to prove a "closed" condition

Embedding a polynomial ring into $\mathbb{Z}_{n^s}$

The class of left serial rings is closed under extensions

show $\mathbb{C} [x,y]/(xy-1)$ is a principal ideal domain

Let $K$ be a ring. Then $K[X_1,X_2] \cong K[X_1][X_2]$

Irreducibility of $t ^ { 4 } + t - 1$ over $\mathbb{F}_{25}$

Number of ring homomorphism from $\Bbb Z[x,y]$ to $\Bbb F_2[x]/(x^3+x^2+x+1)$

Two questions on the ring S := {a+bs : a,b ∈ R}

Isomorphism between C and another ring

Describe the set of quadratic integers α in Q[sqrt−3] for which α ̄ and α are associates.

Image of an ideal under a surjective ring homomorphism is an ideal

Showing that $\sqrt{5} \in \mathbb{Q}(\sqrt[p]{2} + \sqrt{5})$

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