List questions from ideals

Published on 25 Mar 2026 - 6:27

55

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Image of a semiring homomorphism, which is an ideal.

Published on 15 Jan 2020 - 3:52

76

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Does an ideal $I=(x_1,...,x_n)$ which contains a regular element implie $x_i$ is regular for some $i$?

Published on 15 Jan 2020 - 6:48

232

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Prime Ideal, Ideal Norm

Published on 31 Mar 2026 - 20:51

204

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Derive ideal form of Bézout's Identity: $a\Bbb Z + b\Bbb Z = \gcd(a,b)\Bbb Z$

Published on 28 Mar 2026 - 14:44

72

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Show that $y-x^2 \notin \langle x(x-1), (x-1)y\rangle$ in $\mathbb{C}[x,y]$

Published on 16 Jan 2020 - 18:26

49

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Show that $P$ is prime iff the following holds: For any $A\in \mathcal P\left(S\right)$ either $A\in P$ or $A^{c}=S\setminus A\in P$ but not both.

Published on 17 Jan 2020 - 17:37

1.1k

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Show that any ideal in $\mathbb{C}[x,y]$ containing $y$ can be generated by $2$ elements

Published on 18 Jan 2020 - 11:40

214

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Polynomial ring modulo ideal generated by linear factor

Published on 26 Mar 2026 - 6:17

192

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

Published on 20 Jan 2020 - 11:58

54

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Computing the ideal of all 0-valued multivariate polynomials over a field $k$?

Published on 21 Jan 2020 - 2:50

130

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Prove that for $R$ a ring with unity and $M_R$ an $R$-module, the set of elements in $M$ which annihilate $I^k$, $I$ an ideal, is a submodule

Published on 23 Jan 2020 - 21:38

136

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Corollary of Nakayama's Lemma

Published on 24 Jan 2020 - 18:24

57

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A question about integral ring extension

Published on 01 Apr 2026 - 16:51

178

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Definition of the generated ideal

Published on 26 Jan 2020 - 14:30

List Question

Decide if certain polynomial is in an Ideal

Image of a semiring homomorphism, which is an ideal.

Does an ideal $I=(x_1,...,x_n)$ which contains a regular element implie $x_i$ is regular for some $i$?

Prime Ideal, Ideal Norm

Derive ideal form of Bézout's Identity: $a\Bbb Z + b\Bbb Z = \gcd(a,b)\Bbb Z$

Show that $y-x^2 \notin \langle x(x-1), (x-1)y\rangle$ in $\mathbb{C}[x,y]$

Show that $P$ is prime iff the following holds: For any $A\in \mathcal P\left(S\right)$ either $A\in P$ or $A^{c}=S\setminus A\in P$ but not both.

Show that any ideal in $\mathbb{C}[x,y]$ containing $y$ can be generated by $2$ elements

Polynomial ring modulo ideal generated by linear factor

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

Computing the ideal of all 0-valued multivariate polynomials over a field $k$?

Prove that for $R$ a ring with unity and $M_R$ an $R$-module, the set of elements in $M$ which annihilate $I^k$, $I$ an ideal, is a submodule

Corollary of Nakayama's Lemma

A question about integral ring extension

Definition of the generated ideal

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