List questions from commutative-algebra

Published on 11 Apr 2026 - 12:49

87

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what if matrix multiplications were commutative

Published on 13 Apr 2026 - 14:55

100

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What is the difference between $\pi_1 \mathbb{Z}_p$ and $\pi_1 \mathbb{Q}_p$?

Published on 26 Mar 2026 - 4:52

118

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Wedge product and right derived functors

Published on 13 Apr 2026 - 8:19

63

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Double Tor functor

Published on 17 Apr 2026 - 1:21

90

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What is the rank of $\mathbb{Z}[i] \otimes_{\mathbb{Z}[i]} \mathbb{Z}[i]$ as $\mathbb{Z}$-module?

Published on 11 Apr 2026 - 7:05

245

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Is $R[X,Y]/(XY-1)$ a finitely generated $R[X]$-module?

Published on 09 Apr 2026 - 8:26

260

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Show that an algebraic extension $L/ \mathbb{F}_q$ admits no non-trivial valuations

Published on 26 Mar 2026 - 7:46

69

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If $A$ is a noetherian ring and $a$ is an ideal of $A$, then $A$ and $A/a$ are not isomorphic rings.

Published on 15 Apr 2026 - 13:21

353

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Proof of Nullstellensatz

Published on 25 Mar 2026 - 22:02

152

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Definition of the Filtration of a Module

Published on 12 Apr 2026 - 14:57

47

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Domain with vanishing class group is PID

Published on 12 Apr 2026 - 20:51

248

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What can be said about an ideal contracted to a maximal ideal?

Published on 12 Apr 2026 - 13:11

50

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Finitely generated over a ring $S$ and a map $R \to S$ implies finitely generated over $R$?

Published on 14 Apr 2026 - 11:03

224

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Blow-up an irreducible component

Published on 13 Apr 2026 - 13:22

List Question

Regular sequence and relations

what if matrix multiplications were commutative

What is the difference between $\pi_1 \mathbb{Z}_p$ and $\pi_1 \mathbb{Q}_p$?

Wedge product and right derived functors

Double Tor functor

What is the rank of $\mathbb{Z}[i] \otimes_{\mathbb{Z}[i]} \mathbb{Z}[i]$ as $\mathbb{Z}$-module?

Is $R[X,Y]/(XY-1)$ a finitely generated $R[X]$-module?

Show that an algebraic extension $L/ \mathbb{F}_q$ admits no non-trivial valuations

If $A$ is a noetherian ring and $a$ is an ideal of $A$, then $A$ and $A/a$ are not isomorphic rings.

Proof of Nullstellensatz

Definition of the Filtration of a Module

Domain with vanishing class group is PID

What can be said about an ideal contracted to a maximal ideal?

Finitely generated over a ring $S$ and a map $R \to S$ implies finitely generated over $R$?

Blow-up an irreducible component

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