List questions from maximal-and-prime-ideals

237

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In $\mathbb{C}[x,y]$: If $\langle u,v \rangle$ is a maximal ideal, then $\langle u-\lambda,v-\mu \rangle$ is a maximal ideal?

Published on 16 Dec 2018 - 0:21

571

Views

Maximal ideal in ring of power series

Published on 18 Dec 2018 - 19:54

332

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Determine the maximal ideals of $\mathbb R^2$ by noting $\mathbb R^2 \cong \mathbb R[x]/(x^2-1)$

Published on 22 Dec 2018 - 9:03

1.6k

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Determine maximal ideals of $\mathbb R[x]/(x^2)$

Published on 25 Mar 2026 - 16:01

677

Views

A real polynomial of degree more than or equal to 3 is reducible, but does it necessarily have a real zero?

Published on 26 Mar 2026 - 7:35

94

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The correspondence between maximal ideals in an algebra and it's unitalization

Published on 25 Mar 2026 - 3:02

247

Views

Commutative Banach algebras and maximum ideal space

Published on 25 Mar 2026 - 20:18

346

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Concerning the evaluation map

Published on 26 Dec 2018 - 4:09

340

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If spectrum of a commutative ring is empty

Published on 26 Dec 2018 - 16:37

407

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Unique prime ideal factorization in noetherian domains?

Published on 25 Mar 2026 - 4:37

62

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Show that $dim_C(m^n/m^{n+1}) = n+1$

Published on 28 Dec 2018 - 10:39

388

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Determine the maximal ideals of $\mathbb R^2$ by determining all its ideals.

Published on 29 Dec 2018 - 11:57

41

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$R_p$ is a field iff for any $x \in p$ there exists $y \not\in p$ such that $xy = 0$

Published on 26 Mar 2026 - 1:04

459

Views

Finding prime ideals of $\mathbb{Z}[x,y]/(12,x^2,y^3)$

Published on 30 Dec 2018 - 16:07

394

Views

When associated prime ideals are comaximal

Published on 30 Dec 2018 - 18:12

List Question

In $\mathbb{C}[x,y]$: If $\langle u,v \rangle$ is a maximal ideal, then $\langle u-\lambda,v-\mu \rangle$ is a maximal ideal?

Maximal ideal in ring of power series

Determine the maximal ideals of $\mathbb R^2$ by noting $\mathbb R^2 \cong \mathbb R[x]/(x^2-1)$

Determine maximal ideals of $\mathbb R[x]/(x^2)$

A real polynomial of degree more than or equal to 3 is reducible, but does it necessarily have a real zero?

The correspondence between maximal ideals in an algebra and it's unitalization

Commutative Banach algebras and maximum ideal space

Concerning the evaluation map

If spectrum of a commutative ring is empty

Unique prime ideal factorization in noetherian domains?

Show that $dim_C(m^n/m^{n+1}) = n+1$

Determine the maximal ideals of $\mathbb R^2$ by determining all its ideals.

$R_p$ is a field iff for any $x \in p$ there exists $y \not\in p$ such that $xy = 0$

Finding prime ideals of $\mathbb{Z}[x,y]/(12,x^2,y^3)$

When associated prime ideals are comaximal

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