List questions from ring-theory

Published on 25 Apr 2026 - 8:22

75

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Can polynomials with degree at least 2 over $\mathbb{R}$ have finite number of solutions in $End(\mathbb{R},+)$

Published on 12 Apr 2026 - 18:57

311

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Isn't $x^2+1 $ irreducible in $\mathbb Z$, then why is $\langle x^2+1 \rangle$ not a maximal ideal in $\mathbb Z[x]?$

Published on 13 Apr 2026 - 20:18

3.7k

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How to show that $\Bbb Z[x,y,z,w]/(xw-zy)$ is not a UFD

Published on 11 Apr 2026 - 9:12

553

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An integral domain and its field of fractions.

Published on 09 Apr 2026 - 1:46

955

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The ring $R$ is a field iff $R$ has a finitely generated divisible module

Published on 14 Apr 2026 - 22:58

665

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A finite commutative ring with 1 whose elements satisfy a particular equation

Published on 12 Apr 2026 - 20:50

2.2k

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Is $\mathbb{C}[x,y] / (y^2-x^3)$ a PID?

Published on 14 Apr 2026 - 14:40

99

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How do we know that $f(x)\in Y$?

Published on 24 Apr 2026 - 14:37

55

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Ideal in a certain algebra over a field

Published on 11 Apr 2026 - 20:18

124

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Recovering Unique Factorization

Published on 11 Apr 2026 - 20:36

106

Views

Relative topological tensor product

Published on 13 Apr 2026 - 16:15

1.2k

Views

In an Integral Domain, every prime is an irreducible. Flaw in the Proof?

Published on 14 Apr 2026 - 8:50

125

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Question on quotient ring

Published on 13 Apr 2026 - 20:19

70

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Does the relation $\pi(S_{i})=S^{-1}R-P_{i}\cdot S^{-1}R$ hold for prime ideals $P_i$ in a commutative ring $R$?

Published on 15 Apr 2026 - 9:49

List Question

Noetherian group rings

Can polynomials with degree at least 2 over $\mathbb{R}$ have finite number of solutions in $End(\mathbb{R},+)$

Isn't $x^2+1 $ irreducible in $\mathbb Z$, then why is $\langle x^2+1 \rangle$ not a maximal ideal in $\mathbb Z[x]?$

How to show that $\Bbb Z[x,y,z,w]/(xw-zy)$ is not a UFD

An integral domain and its field of fractions.

The ring $R$ is a field iff $R$ has a finitely generated divisible module

A finite commutative ring with 1 whose elements satisfy a particular equation

Is $\mathbb{C}[x,y] / (y^2-x^3)$ a PID?

How do we know that $f(x)\in Y$?

Ideal in a certain algebra over a field

Recovering Unique Factorization

Relative topological tensor product

In an Integral Domain, every prime is an irreducible. Flaw in the Proof?

Question on quotient ring

Does the relation $\pi(S_{i})=S^{-1}R-P_{i}\cdot S^{-1}R$ hold for prime ideals $P_i$ in a commutative ring $R$?

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