List questions from ring-theory

Published on 14 Apr 2026 - 19:06

44

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Intersection of $I$-adic neiborhoods equal to intersection of kernel of localization map

Published on 14 Apr 2026 - 0:26

202

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an irreducible affine curve is normal if and only if it is nonsingular

Published on 26 Mar 2026 - 2:56

196

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Direct Product of Rings and isomorphism

Published on 14 Apr 2026 - 20:37

43

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Is the degree m taylor polynomial, A polynomial field over R^n?

Published on 29 Apr 2026 - 22:16

61

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Differences between polynomial quotient rings $\mathbb{Z}_m[x]/(x^n+1)$ and $\mathbb{Z}_m[x]/(x^n-1)$

Published on 26 Mar 2026 - 16:06

819

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Prove that (Q, ∘ , *) is unitary commutative ring

Published on 16 Apr 2026 - 7:39

119

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Showing two UFD elements are relatively prime without Bézout

Published on 10 Apr 2026 - 20:27

220

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How many zero divisors does a ring have?

Published on 24 Apr 2026 - 11:05

36

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"Understanding" the techniques involved in this proof that $F[x, y]/\langle y^2 - x^3 \rangle$ is a domain and is not integrally closed

Published on 14 Apr 2026 - 17:41

34

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Is $1.r=r.1=r$ for a Non Commutative Ring

Published on 14 Apr 2026 - 4:39

55

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Show there is no ring map $R=\mathbb{Z}[\sqrt{-3}]\to\mathbb{Z}[i]=S$ such that $1_R\mapsto 1_S$

Published on 22 Apr 2026 - 1:34

161

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Fiber product of local artinian rings with a fixed residue field

Published on 10 May 2026 - 20:26

119

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Field of fractions over $k[X,Y]$

Published on 12 Apr 2026 - 0:51

127

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Ascending chain of ideal in polynomial ring

Published on 11 Apr 2026 - 23:14

List Question

Examples of locally nilpotent ring

Intersection of $I$-adic neiborhoods equal to intersection of kernel of localization map

an irreducible affine curve is normal if and only if it is nonsingular

Direct Product of Rings and isomorphism

Is the degree m taylor polynomial, A polynomial field over R^n?

Differences between polynomial quotient rings $\mathbb{Z}_m[x]/(x^n+1)$ and $\mathbb{Z}_m[x]/(x^n-1)$

Prove that (Q, ∘ , *) is unitary commutative ring

Showing two UFD elements are relatively prime without Bézout

How many zero divisors does a ring have?

"Understanding" the techniques involved in this proof that $F[x, y]/\langle y^2 - x^3 \rangle$ is a domain and is not integrally closed

Is $1.r=r.1=r$ for a Non Commutative Ring

Show there is no ring map $R=\mathbb{Z}[\sqrt{-3}]\to\mathbb{Z}[i]=S$ such that $1_R\mapsto 1_S$

Fiber product of local artinian rings with a fixed residue field

Field of fractions over $k[X,Y]$

Ascending chain of ideal in polynomial ring

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