List questions from commutative-algebra

Published on 13 Apr 2026 - 17:17

221

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Ideal equals the whole ring

Published on 14 Apr 2026 - 13:24

120

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Set maps given by a polynomial & Yoneda Lemma

Published on 14 Apr 2026 - 19:06

550

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This ideal is prime or not?

Published on 13 Apr 2026 - 16:52

2.4k

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$\dim \mathbb K[x,y,z]/(xy,xz,yz)$

Published on 15 Apr 2026 - 5:40

68

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An inverse limit of a certain inverse system

Published on 14 Apr 2026 - 8:47

209

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Prove that a given ideal is not maximal in $\mathbb C[x,y,z]$

Published on 14 Apr 2026 - 2:26

144

Views

If $a,b$ is an $R$-sequence, then $(ax-b)$ is prime

Published on 15 Apr 2026 - 18:45

1.2k

Views

Jacobson radical of a finitely generated $\mathbb Z$-algebra is nilpotent

Published on 09 Apr 2026 - 6:29

135

Views

Intersection of $max(R)$ with a closed subset in $Spec(R)$

Published on 12 Apr 2026 - 0:46

155

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$\mathbb C[x_1,\ldots,x_n]/I=\mathbb C\times\cdots\times\mathbb C$.

Published on 16 Apr 2026 - 14:59

57

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A local subring of $F[[x]]$?

Published on 14 Apr 2026 - 14:20

86

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"Finitely generated as an $R$-module"

Published on 13 Apr 2026 - 14:54

104

Views

To show a certain integral closure is an order.

Published on 13 Apr 2026 - 21:29

271

Views

Commutative ring with an ideal that contains all the nonunits

Published on 14 Apr 2026 - 11:15

List Question

Integral domain with a finitely generated non-zero injective module is a field

Ideal equals the whole ring

Set maps given by a polynomial & Yoneda Lemma

This ideal is prime or not?

$\dim \mathbb K[x,y,z]/(xy,xz,yz)$

An inverse limit of a certain inverse system

Prove that a given ideal is not maximal in $\mathbb C[x,y,z]$

If $a,b$ is an $R$-sequence, then $(ax-b)$ is prime

Jacobson radical of a finitely generated $\mathbb Z$-algebra is nilpotent

Intersection of $max(R)$ with a closed subset in $Spec(R)$

$\mathbb C[x_1,\ldots,x_n]/I=\mathbb C\times\cdots\times\mathbb C$.

A local subring of $F[[x]]$?

"Finitely generated as an $R$-module"

To show a certain integral closure is an order.

Commutative ring with an ideal that contains all the nonunits

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