List questions from maximal-and-prime-ideals

Published on 25 Mar 2026 - 13:59

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Prove that a maximal ideal is radical.

Published on 30 Apr 2019 - 5:51

610

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Prove $2$ is not a prime in the ring $\mathbb{Z}[\sqrt{-3}]$

Published on 30 Apr 2019 - 12:01

56

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A characterization of principal rings

Published on 26 Mar 2026 - 13:01

240

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Exact Sequence regarding irreducible components of curves

Published on 06 May 2019 - 7:20

114

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Identify the ring $\mathbb{Z}[x]/\langle2x+1,6\rangle$

Published on 09 May 2019 - 4:43

293

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Elements of the spectrum of complex numbers

Published on 15 May 2019 - 19:06

332

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Support of localization of a module at a minimal prime over the support of the original module

Published on 26 Mar 2026 - 21:27

339

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Is this a maximal ideal of the ring of formal power series?

Published on 25 Mar 2026 - 20:20

359

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Is the ideal $I=(X+Y,X-Y)$ in the polynomial ring $\mathbb{C}[X,Y]$ a prime ideal?

Published on 20 May 2019 - 1:40

499

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Question about associated primes and annihilator

Published on 20 May 2019 - 3:44

291

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Is $\mathbb{Z}[x]$ an integral domain? If so, why?

Published on 20 May 2019 - 23:57

405

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An example for ring with trivial ideals

Published on 23 May 2019 - 19:06

788

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Some properties about prime ideal under Galois extension

Published on 25 Mar 2026 - 7:43

1.3k

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Prove $(y-x^2)$ is a prime ideal in $\mathbb{R}[x,y]$, but not maximal.

Published on 25 May 2019 - 6:58

List Question

Locally Noetherian Domain With Finitely Many Prime Ideals

Prove that a maximal ideal is radical.

Prove $2$ is not a prime in the ring $\mathbb{Z}[\sqrt{-3}]$

A characterization of principal rings

Exact Sequence regarding irreducible components of curves

Identify the ring $\mathbb{Z}[x]/\langle2x+1,6\rangle$

Elements of the spectrum of complex numbers

Support of localization of a module at a minimal prime over the support of the original module

Is this a maximal ideal of the ring of formal power series?

Is the ideal $I=(X+Y,X-Y)$ in the polynomial ring $\mathbb{C}[X,Y]$ a prime ideal?

Question about associated primes and annihilator

Is $\mathbb{Z}[x]$ an integral domain? If so, why?

An example for ring with trivial ideals

Some properties about prime ideal under Galois extension

Prove $(y-x^2)$ is a prime ideal in $\mathbb{R}[x,y]$, but not maximal.

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