List questions from ideals

Published on 27 Mar 2026 - 15:15

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C* algebra exact sequences and ideals

Published on 25 Mar 2026 - 20:52

98

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Does $\frac{b}{s} \in S^{-1} I$ directly implies that $b \in I$?

Published on 26 Mar 2026 - 1:07

50

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If two ideals agree on $K\lhd R$ and yield the same quotients $\pi_K(I)=\pi_K(J)$, are they equal?

Published on 14 Jan 2019 - 0:38

112

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Is there a ring containing ideals where the union of the ideals forms a subring but not an ideal?

Published on 14 Jan 2019 - 22:53

57

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Finiteness of an algebraic variety $V(I) \subseteq \mathbb{C}^n$ where $I$ is a zero dimensional ideal of $\mathbb{C}[x_1,\dots,x_n]$

Published on 25 Mar 2026 - 7:46

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Ideals in an infinite direct product of fields

Published on 15 Jan 2019 - 21:15

127

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Consider the order $\mathbb{Z}[\sqrt[4]{24}]$. Find all ideals of norm 100.

Published on 16 Jan 2019 - 17:02

59

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Prime ideals in $R[X]/I$

Published on 28 Mar 2026 - 22:26

162

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Passing from a set of generators to a set of homogeneous generators

Published on 25 Mar 2026 - 10:34

901

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Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set

Published on 26 Mar 2026 - 1:08

167

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Localization correspondence

Published on 26 Mar 2026 - 2:52

79

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Invertible elements of $\mathbb{Z}_3[x] / (x^4+x^3-1)^3$

Published on 26 Mar 2026 - 12:07

120

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If a ring is noetherian, then so is its subring

Published on 25 Mar 2026 - 10:53

42

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Maximality of an ideal for showing that an algebra is in fact a field

Published on 28 Mar 2026 - 22:31

List Question

Is the ideal generated by ${4,x}$ a principal ideal in $Z[x]$?

C* algebra exact sequences and ideals

Does $\frac{b}{s} \in S^{-1} I$ directly implies that $b \in I$?

If two ideals agree on $K\lhd R$ and yield the same quotients $\pi_K(I)=\pi_K(J)$, are they equal?

Is there a ring containing ideals where the union of the ideals forms a subring but not an ideal?

Finiteness of an algebraic variety $V(I) \subseteq \mathbb{C}^n$ where $I$ is a zero dimensional ideal of $\mathbb{C}[x_1,\dots,x_n]$

Ideals in an infinite direct product of fields

Consider the order $\mathbb{Z}[\sqrt[4]{24}]$. Find all ideals of norm 100.

Prime ideals in $R[X]/I$

Passing from a set of generators to a set of homogeneous generators

Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set

Localization correspondence

Invertible elements of $\mathbb{Z}_3[x] / (x^4+x^3-1)^3$

If a ring is noetherian, then so is its subring

Maximality of an ideal for showing that an algebra is in fact a field

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