List questions from maximal-and-prime-ideals

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Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$

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Atiyah-Macdonald, Chapter 3, Exercise 18. Why is $B_q$ a local ring of $B_p$?

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Ideal of a commutative ring with $30$ elements.

Published on 31 Mar 2015 - 18:00

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Is a prime principal ideal which is not maximal among principal ideals always idempotent?

Published on 01 Apr 2015 - 7:52

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Prime ideals in a finite direct product of rings

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Why in a graded ring $A$ finitely generated that's an algebra over a field $K$ every maximal ideal is a $K$-subspace?

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Maximal ideals and Prime ideals.

Published on 04 Apr 2015 - 18:55

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Condition on ideal of ring of integers being prime

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Associated primes of an $R$-module

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Minimal prime ideal

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Polynomial ring and maximal ideal

Published on 07 Apr 2015 - 18:05

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Proving that "Every non-trivial ring (i.e. with more than one element ) with unity has a maximal ideal" implies axiom of choice is true

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Prime ideals in $\mathbb{Q}(\sqrt{-5})$ above rational prime ideals

Published on 08 Apr 2015 - 20:41

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Question about ideals

Published on 10 Apr 2015 - 6:26

List Question

Pull back image of maximal ideal under surjective ring homomorphism is maximal

Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$

Atiyah-Macdonald, Chapter 3, Exercise 18. Why is $B_q$ a local ring of $B_p$?

Ideal of a commutative ring with $30$ elements.

Is a prime principal ideal which is not maximal among principal ideals always idempotent?

Prime ideals in a finite direct product of rings

Why in a graded ring $A$ finitely generated that's an algebra over a field $K$ every maximal ideal is a $K$-subspace?

Maximal ideals and Prime ideals.

Condition on ideal of ring of integers being prime

Associated primes of an $R$-module

Minimal prime ideal

Polynomial ring and maximal ideal

Proving that "Every non-trivial ring (i.e. with more than one element ) with unity has a maximal ideal" implies axiom of choice is true

Prime ideals in $\mathbb{Q}(\sqrt{-5})$ above rational prime ideals

Question about ideals

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