List questions from ideals

Published on 29 Jun 2020 - 17:49

207

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Showing that $Z[\sqrt{-n}]/\sqrt{-n}\approx Z_n $ and other similar isomorphisms.

Published on 29 Jun 2020 - 19:22

52

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Three Ideals in a ring

Published on 01 Jul 2020 - 9:08

29

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$\mathfrak{m}^k$ is maximal if $\mathfrak{m}$ is

Published on 25 Mar 2026 - 11:01

145

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Distributive law for ideals

Published on 01 Jul 2020 - 10:24

35

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Why is $k[x^2-1]\cap (x-1) = (x^2-1)$?

Published on 01 Jul 2020 - 20:45

68

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Find the prime ideals of $\mathbb Z[i][x]/(1+i,x^2+2)$

Published on 02 Jul 2020 - 1:16

168

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Enumerate the elements of a quotient Gaussian Integers ring

Published on 25 Mar 2026 - 12:53

115

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Hull kernel topology and $\tau_w$-topology are same on Prime$(A)$

Published on 31 Mar 2026 - 14:27

105

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Invertible element

Published on 02 Jul 2020 - 15:53

221

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Intersection of maximal ideals of $\mathbb{Q}[x]/(f(x))$ are nilpotent elements

Published on 03 Jul 2020 - 17:49

711

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An equality on the sum, the intersection and the product of ideals

Published on 28 Mar 2026 - 21:51

164

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Let $R=K[x,y,z]/(x^2-yz)$, where $K$ is a field. Show that $R$ is an integral domain, but not a unique factorization domain.

Published on 30 Mar 2026 - 13:41

433

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GCD of Ideal: How we get $\gcd(I, J) = I + J $?

Published on 25 Mar 2026 - 19:05

218

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Let $I$ and $J$ be two ideals. Then is $IJ=JI$?

Published on 07 Jul 2020 - 19:09

List Question

The integral closure of a monomial ideal is still a monomial ideal

Showing that $Z[\sqrt{-n}]/\sqrt{-n}\approx Z_n $ and other similar isomorphisms.

Three Ideals in a ring

$\mathfrak{m}^k$ is maximal if $\mathfrak{m}$ is

Distributive law for ideals

Why is $k[x^2-1]\cap (x-1) = (x^2-1)$?

Find the prime ideals of $\mathbb Z[i][x]/(1+i,x^2+2)$

Enumerate the elements of a quotient Gaussian Integers ring

Hull kernel topology and $\tau_w$-topology are same on Prime$(A)$

Invertible element

Intersection of maximal ideals of $\mathbb{Q}[x]/(f(x))$ are nilpotent elements

An equality on the sum, the intersection and the product of ideals

Let $R=K[x,y,z]/(x^2-yz)$, where $K$ is a field. Show that $R$ is an integral domain, but not a unique factorization domain.

GCD of Ideal: How we get $\gcd(I, J) = I + J $?

Let $I$ and $J$ be two ideals. Then is $IJ=JI$?

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