List questions from ideals

Published on 26 Mar 2026 - 2:46

395

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On regular sequence in generating set in a homogeneous ideal in polynomial ring of maximum height

Published on 25 Mar 2026 - 19:58

60

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Proving the analogous of $a\subseteq r(a)$ for $r_M(N)$

Published on 24 May 2020 - 4:28

177

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Let $I = (2,x)$, an ideal in $\mathbb{Z}[x]$. Show there is an element of $II$ not of the form $ab$, where $a, b \in I$.

Published on 24 May 2020 - 7:22

354

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Prove that $x−1$ and $y−1$ are irreducible in $R$

Published on 30 Mar 2026 - 8:24

42

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Arithmetic of quotients

Published on 25 May 2020 - 16:29

69

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Prove that set is closed and ideal of another set

Published on 25 May 2020 - 17:53

44

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Prove that $\mathbb{Q}[X]/I\cong Q\times Q$

Published on 26 Mar 2026 - 4:32

61

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Showing an ideal is prime in polynomial ring: over $\Bbb Q$ and $\Bbb C$.

Published on 30 Mar 2026 - 8:30

211

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Show that the set in the ring of polynomials in $\mathbb Q[x]$ is an ideal of $\mathbb Q[x]$.

Published on 26 May 2020 - 10:06

109

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Is the set $I$ a maximal ideal?

Published on 30 Mar 2026 - 23:11

93

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Show that $(x-1)$ and $(y-1)$ are not prime ideals and that the ring of polynomials on the unit circle is not a UFD.

Published on 30 Mar 2026 - 23:15

294

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Finding all the maximal ideals of $\mathbb{Z}_{63}$

Published on 28 Mar 2026 - 16:45

177

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Number of maximal ideal in the quotient ring

Published on 30 Mar 2026 - 23:12

39

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In the ring $\mathbb{Z}_m$ the ideal $(n) \cong n\mathbb{Z}/m\mathbb{Z}$?

Published on 27 May 2020 - 21:45

List Question

surjectivity condition for induced map of prime ideals

On regular sequence in generating set in a homogeneous ideal in polynomial ring of maximum height

Proving the analogous of $a\subseteq r(a)$ for $r_M(N)$

Let $I = (2,x)$, an ideal in $\mathbb{Z}[x]$. Show there is an element of $II$ not of the form $ab$, where $a, b \in I$.

Prove that $x−1$ and $y−1$ are irreducible in $R$

Arithmetic of quotients

Prove that set is closed and ideal of another set

Prove that $\mathbb{Q}[X]/I\cong Q\times Q$

Showing an ideal is prime in polynomial ring: over $\Bbb Q$ and $\Bbb C$.

Show that the set in the ring of polynomials in $\mathbb Q[x]$ is an ideal of $\mathbb Q[x]$.

Is the set $I$ a maximal ideal?

Show that $(x-1)$ and $(y-1)$ are not prime ideals and that the ring of polynomials on the unit circle is not a UFD.

Finding all the maximal ideals of $\mathbb{Z}_{63}$

Number of maximal ideal in the quotient ring

In the ring $\mathbb{Z}_m$ the ideal $(n) \cong n\mathbb{Z}/m\mathbb{Z}$?

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