List questions from ring-theory

Published on 08 Jan 2019 - 16:42

88

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Why is $\frac{1}{x+2} = \sum_k^\infty (-1)^k(1+x)^k \in \mathbb{Z} [[x]]$ not the inverse of $x+2$ in $\mathbb{Z}$?

Published on 26 Mar 2026 - 9:18

128

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Two types of Grothendieck groups for rings

Published on 24 Mar 2026 - 22:09

58

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Associated elements in $\mathbb{Z}[\frac{1+\sqrt{-3}}{2}]$

Published on 27 Mar 2026 - 20:34

175

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Computing Coordinate Rings of Varieites

Published on 25 Mar 2026 - 7:41

843

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Are complex conjugates, of prime ideals, prime ideals?

Published on 29 Mar 2026 - 3:36

160

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Describe $\Bbb{R}[x]/(x^2 + 1)$

Published on 30 Mar 2026 - 9:41

156

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Proof about finite integral domains.

Published on 09 Jan 2019 - 12:08

759

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When is a Unique Factorization Domain a Principal Ideal domain

Published on 25 Mar 2026 - 6:00

564

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Prove $R_{\mathfrak p}$ has only one maximal ideal $\mathfrak pR_{\mathfrak p}$

Published on 26 Mar 2026 - 1:06

241

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Ask for example: A simple ring with zero divisors

Published on 28 Mar 2026 - 2:59

296

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If $(p)$ is a proper subset of a proper ideal $I$, then is $I$ prime?

Published on 28 Mar 2026 - 23:59

165

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Ring homomorphism $f$ from field to non-trivial ring where $\operatorname{Im}(f)$ is not the zero ring

Published on 10 Jan 2019 - 16:11

191

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Problem of isomorphism and counting on quotient ring $\mathbb{Z}_{101}[x]/<f(x)>$

Published on 26 Mar 2026 - 9:18

806

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Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.

Published on 28 Mar 2026 - 23:59

List Question

Are rings closed under addition and multiplication?

Why is $\frac{1}{x+2} = \sum_k^\infty (-1)^k(1+x)^k \in \mathbb{Z} [[x]]$ not the inverse of $x+2$ in $\mathbb{Z}$?

Two types of Grothendieck groups for rings

Associated elements in $\mathbb{Z}[\frac{1+\sqrt{-3}}{2}]$

Computing Coordinate Rings of Varieites

Are complex conjugates, of prime ideals, prime ideals?

Describe $\Bbb{R}[x]/(x^2 + 1)$

Proof about finite integral domains.

When is a Unique Factorization Domain a Principal Ideal domain

Prove $R_{\mathfrak p}$ has only one maximal ideal $\mathfrak pR_{\mathfrak p}$

Ask for example: A simple ring with zero divisors

If $(p)$ is a proper subset of a proper ideal $I$, then is $I$ prime?

Ring homomorphism $f$ from field to non-trivial ring where $\operatorname{Im}(f)$ is not the zero ring

Problem of isomorphism and counting on quotient ring $\mathbb{Z}_{101}[x]/<f(x)>$

Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.

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