List questions from ring-theory

Published on 25 Mar 2026 - 15:50

61

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#Hom$(\mathbb{Z}[i], \mathbb{Z}/85\mathbb{Z})$

Published on 25 Mar 2026 - 9:35

23

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Show that an element of a free algebra is not generated by some relations

Published on 13 Mar 2019 - 21:38

943

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Prove that the only ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is Identity mapping

Published on 25 Mar 2026 - 9:37

237

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Prime ideals in $\mathbb{Z}[X], \mathbb{Q}[X], \mathbb{F}_{19}[X]$.

Published on 25 Mar 2026 - 7:43

297

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Let $k$ be a field and $x,y \in K[x,y]$, then $x$ and $y$ are relatively prime.

Published on 31 Mar 2026 - 14:44

413

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Prove $x^n+x^{n-1}+2$ is irreducible in $\mathbb{Q}[x]$ for $n\geq 2$

Published on 26 Mar 2026 - 20:41

106

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Isomorphism between polynomial ring and ring

Published on 14 Mar 2019 - 17:55

640

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Find all prime ideals in $\mathbb{Z}/n\mathbb{Z}$ where $n>1$

Published on 29 Mar 2026 - 12:05

120

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Is Kaplansky's radical same as Jacobson radical?

Published on 15 Mar 2019 - 1:55

430

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Does this property of comaximal ideals always hold?

Published on 29 Mar 2026 - 12:04

153

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Does $R\cong S$ imply $R[X] \cong S[X]$?

Published on 15 Mar 2019 - 12:50

62

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Ideal in $\mathbb{C}[x,y]$

Published on 15 Mar 2019 - 20:25

64

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In which rings does this multiplicative analogue of Bézout's theorem hold?

Published on 16 Mar 2019 - 9:55

217

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Find all the ideals of $\mathbb { Z } [ i ]$ containing $(5)$

Published on 30 Mar 2026 - 14:57

List Question

Concerning the $k$-algebra $k[x,x^{-1},y]$

#Hom$(\mathbb{Z}[i], \mathbb{Z}/85\mathbb{Z})$

Show that an element of a free algebra is not generated by some relations

Prove that the only ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is Identity mapping

Prime ideals in $\mathbb{Z}[X], \mathbb{Q}[X], \mathbb{F}_{19}[X]$.

Let $k$ be a field and $x,y \in K[x,y]$, then $x$ and $y$ are relatively prime.

Prove $x^n+x^{n-1}+2$ is irreducible in $\mathbb{Q}[x]$ for $n\geq 2$

Isomorphism between polynomial ring and ring

Find all prime ideals in $\mathbb{Z}/n\mathbb{Z}$ where $n>1$

Is Kaplansky's radical same as Jacobson radical?

Does this property of comaximal ideals always hold?

Does $R\cong S$ imply $R[X] \cong S[X]$?

Ideal in $\mathbb{C}[x,y]$

In which rings does this multiplicative analogue of Bézout's theorem hold?

Find all the ideals of $\mathbb { Z } [ i ]$ containing $(5)$

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