List questions from maximal-and-prime-ideals

Published on 29 Nov 2021 - 16:00

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finding all maximal ideals of $KS_3$

Published on 30 Nov 2021 - 12:20

129

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Intersection of associated prime ideals is radical of annulator

Published on 01 Dec 2021 - 17:45

252

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If $\mathfrak p$ is a prime ideal of an integral domain, is $\mathfrak pM$ a prime submodule of a torsion-free module $M$?

Published on 02 Dec 2021 - 10:13

37

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Question about Issacs Group theory Exercise 14.3 part c Hint

Published on 03 Dec 2021 - 0:35

153

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Ring with every element idempotent

Published on 23 Feb 2026 - 4:43

156

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Proving $\pi$ is irreducible/prime in $R.$

Published on 03 Dec 2021 - 22:08

165

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Let $R$ be a commutative ring with $1$ that is not a field. Prove that $R[x]$ is not a PID.

Published on 04 Dec 2021 - 23:40

24

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If and Ideal of a Ring has a prime Ideal, then prime ideal is Ideal of the given Ring

Published on 05 Dec 2021 - 8:30

32

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Maximal ideals in $\mathbb{C}[X,Y]$ without using the Nullstellensatz

Published on 08 Dec 2021 - 6:55

48

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If $p$ is a prime in $\mathbb{Z}$ and $(p)$ is a prime ideal in $\mathbb{Z}[i]$, then $x^2 \equiv -1\pmod{p}$ has no solution in $\mathbb{Z}[i]$

Published on 26 Mar 2026 - 19:20

101

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The spectrum of a ring minus a prime of height $1$

Published on 23 Feb 2026 - 14:11

167

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Maximal Ideals of Different Heights

Published on 17 Dec 2021 - 19:28

319

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Zorn's Lemma and Prime Ideals

Published on 17 Dec 2021 - 20:28

82

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Chinese Remainder Theorem for integral ring homomorphisms

Published on 01 Apr 2026 - 4:41

List Question

Prove that (3) is a maximal ideal in $\mathbb{Z}[i]$.

finding all maximal ideals of $KS_3$

Intersection of associated prime ideals is radical of annulator

If $\mathfrak p$ is a prime ideal of an integral domain, is $\mathfrak pM$ a prime submodule of a torsion-free module $M$?

Question about Issacs Group theory Exercise 14.3 part c Hint

Ring with every element idempotent

Proving $\pi$ is irreducible/prime in $R.$

Let $R$ be a commutative ring with $1$ that is not a field. Prove that $R[x]$ is not a PID.

If and Ideal of a Ring has a prime Ideal, then prime ideal is Ideal of the given Ring

Maximal ideals in $\mathbb{C}[X,Y]$ without using the Nullstellensatz

If $p$ is a prime in $\mathbb{Z}$ and $(p)$ is a prime ideal in $\mathbb{Z}[i]$, then $x^2 \equiv -1\pmod{p}$ has no solution in $\mathbb{Z}[i]$

The spectrum of a ring minus a prime of height $1$

Maximal Ideals of Different Heights

Zorn's Lemma and Prime Ideals

Chinese Remainder Theorem for integral ring homomorphisms

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