List questions from ring-theory

Published on 16 Apr 2026 - 9:16

82

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If $k^n$ no simple $kG$ module, then we can find a basis in a special form.

Published on 10 May 2026 - 20:53

94

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$(R,m)$ is local noetherian ring with $m$ maximal ideal. Say $p\in\mathrm{Spec}(R)$ and $p\neq m$. Is there $n$ s.t. $m^n\subset p$?

Published on 05 May 2026 - 19:20

677

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Fields of fractions of $F[x,x^2y,x^3y^2,...,x^ny^{n-1},...]$ and $F[x,y]$ are isomorphic

Published on 24 Apr 2026 - 20:03

83

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Let $\mathbb{Z}_{(p)}$ be the localization of $\mathbb{Z}$ with respect to $\mathbb{Z}\setminus (p)$. Then $\frac{p}{1}$ is the only prime.

Published on 27 Mar 2026 - 17:06

91

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Special Zero Divisor in Ring

Published on 17 Apr 2026 - 3:02

66

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Ideals of $\mathbb{Z}_n[x]$.

Published on 13 Apr 2026 - 22:05

449

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Maximal Ideals of $\mathbb{R}[x]/(x^2 - 3x + 2)$

Published on 15 Apr 2026 - 8:59

96

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Find ideal $J$ which contain ideal $I$.

Published on 13 Apr 2026 - 18:17

66

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Rings with fewer idempotent ideals generated by a single central idempotent.

Published on 12 Apr 2026 - 10:50

75

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exercise in commutative algebra

Published on 05 May 2026 - 19:18

232

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Field $\mathbb F_2$, Reducible and irreducible polynomials

Published on 15 Apr 2026 - 20:09

1k

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What does $\mathbb Z[x] / (2,x)$ look like?

Published on 11 Apr 2026 - 15:07

111

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Proving a theorem regarding extensions of embeddings.

Published on 24 Apr 2026 - 19:57

386

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Prime ideal (Polynomial ring)

Published on 14 Apr 2026 - 1:10

List Question

Isn't every non-unit element irreducible?

If $k^n$ no simple $kG$ module, then we can find a basis in a special form.

$(R,m)$ is local noetherian ring with $m$ maximal ideal. Say $p\in\mathrm{Spec}(R)$ and $p\neq m$. Is there $n$ s.t. $m^n\subset p$?

Fields of fractions of $F[x,x^2y,x^3y^2,...,x^ny^{n-1},...]$ and $F[x,y]$ are isomorphic

Let $\mathbb{Z}_{(p)}$ be the localization of $\mathbb{Z}$ with respect to $\mathbb{Z}\setminus (p)$. Then $\frac{p}{1}$ is the only prime.

Special Zero Divisor in Ring

Ideals of $\mathbb{Z}_n[x]$.

Maximal Ideals of $\mathbb{R}[x]/(x^2 - 3x + 2)$

Find ideal $J$ which contain ideal $I$.

Rings with fewer idempotent ideals generated by a single central idempotent.

exercise in commutative algebra

Field $\mathbb F_2$, Reducible and irreducible polynomials

What does $\mathbb Z[x] / (2,x)$ look like?

Proving a theorem regarding extensions of embeddings.

Prime ideal (Polynomial ring)

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