List questions from ring-theory

Published on 11 May 2026 - 0:38

103

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Property of the field of fractions

Published on 09 Apr 2026 - 5:32

104

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The saturation $J:(t_1\cdots t_m)^\infty$, where all generators of $J$ have degree one in the $t_i$'s

Published on 14 May 2026 - 2:29

159

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Ring which isn't isomorphic to any subring of End(V) for any vector space V

Published on 15 Apr 2026 - 3:46

298

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Show that $R[X]/(f)$ is Dedekind domain

Published on 16 Apr 2026 - 2:13

32

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Given a compact manifold $X$, Is there a ring structure on $[X,lim_n GL(n,C)]$?

Published on 29 Apr 2026 - 15:19

403

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Consider set $\mathbb{Z}[\sqrt{-5}] = \{a+b\sqrt{5}i : a,b \in \mathbb{Z} \}$ show that it is a ring

Published on 15 Apr 2026 - 18:13

239

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The ideal $\langle x^2+1, y-1 \rangle$ in $\mathbb{Q}[x,y]$

Published on 16 Apr 2026 - 20:09

64

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Let $f\in\operatorname{Frac}(R)$ then $f\notin R_{\mathfrak{m}}$ for only finitely many maximal ideals.

Published on 15 Apr 2026 - 2:52

230

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Module over the product of two rings

Published on 12 Apr 2026 - 14:09

1.6k

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Examples of rings that are Noetherian but not finitely generated?

Published on 15 Apr 2026 - 6:09

545

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Proof that degree $n$ polynomial has at most $n$ roots (counting multiplicity)

Published on 14 Apr 2026 - 1:39

242

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Reducible element of ring can be factorized

Published on 12 Apr 2026 - 16:10

40

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Quotient ring of differentiable functions is isomorphic to $\mathbb{R}[x]/(x^2)$

Published on 16 Apr 2026 - 4:58

72

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Show $\mathbb{R}[x]/(x^2)$ is a PID

Published on 13 Apr 2026 - 10:59

List Question

Why must a Euclidean function map to $\mathbb{Z}^{\ge 0}$?

Property of the field of fractions

The saturation $J:(t_1\cdots t_m)^\infty$, where all generators of $J$ have degree one in the $t_i$'s

Ring which isn't isomorphic to any subring of End(V) for any vector space V

Show that $R[X]/(f)$ is Dedekind domain

Given a compact manifold $X$, Is there a ring structure on $[X,lim_n GL(n,C)]$?

Consider set $\mathbb{Z}[\sqrt{-5}] = \{a+b\sqrt{5}i : a,b \in \mathbb{Z} \}$ show that it is a ring

The ideal $\langle x^2+1, y-1 \rangle$ in $\mathbb{Q}[x,y]$

Let $f\in\operatorname{Frac}(R)$ then $f\notin R_{\mathfrak{m}}$ for only finitely many maximal ideals.

Module over the product of two rings

Examples of rings that are Noetherian but not finitely generated?

Proof that degree $n$ polynomial has at most $n$ roots (counting multiplicity)

Reducible element of ring can be factorized

Quotient ring of differentiable functions is isomorphic to $\mathbb{R}[x]/(x^2)$

Show $\mathbb{R}[x]/(x^2)$ is a PID

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