List questions from ideals

Published on 27 Mar 2026 - 0:10

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Chains of ideals contained in maximal ideal in non-Noetherian commutative ring

Published on 13 Apr 2026 - 21:39

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Verification of a factorization of ideals, $\langle 2 \rangle$

Published on 14 Apr 2026 - 22:10

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Prove that $J \cap R(1 - e) \neq \{0\}$

Published on 30 Mar 2026 - 3:36

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Describing integral ideals

Published on 12 Apr 2026 - 0:27

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The intersection and sum of irrelevant ideals are also irrelevant

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Find all maximal ideals of the ring $\mathbb Z_4 \oplus \mathbb Z_{15}$

Published on 14 Apr 2026 - 19:15

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For ideal $m$ maximal and principal, there's no ideal between $m^2$ and $m$. Prove that this can be false when $m$ is not principal or maximal.

Published on 15 Apr 2026 - 13:47

67

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Why this ideal is a subset of $K[x_0, \dots, x_n]$

Published on 17 Apr 2026 - 8:35

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Under what conditions is $J\cdot M$ an $R$-submodule of $M$?

Published on 14 Apr 2026 - 19:51

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How to prove that two principal ideals are equal

Published on 10 Apr 2026 - 21:23

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Proving maximal ideals when considering an irreducible polynomial

Published on 13 Apr 2026 - 21:39

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Determine a parameter so that a given ideal equals $ℝ[x,y]$

Published on 15 Apr 2026 - 3:30

760

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Show that for a field $F$, the polynomial ring $F[x_1, x_2, \ldots, x_n]$ is not a PID for $n>1$.

Published on 15 Apr 2026 - 13:04

152

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Isomorphism of a Quotient Ring

Published on 16 Apr 2026 - 4:51

List Question

How to prove A is a flat R-module

Chains of ideals contained in maximal ideal in non-Noetherian commutative ring

Verification of a factorization of ideals, $\langle 2 \rangle$

Prove that $J \cap R(1 - e) \neq \{0\}$

Describing integral ideals

The intersection and sum of irrelevant ideals are also irrelevant

Find all maximal ideals of the ring $\mathbb Z_4 \oplus \mathbb Z_{15}$

For ideal $m$ maximal and principal, there's no ideal between $m^2$ and $m$. Prove that this can be false when $m$ is not principal or maximal.

Why this ideal is a subset of $K[x_0, \dots, x_n]$

Under what conditions is $J\cdot M$ an $R$-submodule of $M$?

How to prove that two principal ideals are equal

Proving maximal ideals when considering an irreducible polynomial

Determine a parameter so that a given ideal equals $ℝ[x,y]$

Show that for a field $F$, the polynomial ring $F[x_1, x_2, \ldots, x_n]$ is not a PID for $n>1$.

Isomorphism of a Quotient Ring

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