Question

Help with $\sqrt{I}$, where $I=(y^2,x+yz)$ in $\mathbb{C}[x,y,z]$

score 85 · Answer 1 · 2026-04-15 10:31:31

85

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Help with $\sqrt{I}$, where $I=(y^2,x+yz)$ in $\mathbb{C}[x,y,z]$

Published on 15 Apr 2026 - 10:31

score 556 · Answer 2 · 2026-04-14 22:59:46

556

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Krull dimension of $\mathbb{C}[x,y,z]/I$ where $I=(x^2-yz,xz-x)$.

Published on 14 Apr 2026 - 22:59

score 920 · Answer 3 · 2026-04-10 20:22:43

920

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Is $\mathbb{Z}[\sqrt{2} + \sqrt{3}]$ integrally closed?

Published on 10 Apr 2026 - 20:22

score 1.3k · Answer 4 · 2026-04-16 03:43:58

1.3k

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Irreducible components in the spectrum of a ring

Published on 16 Apr 2026 - 3:43

score 2k · Answer 5 · 2026-04-09 16:07:21

2k

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Localization does not commute canonically with infinite direct products

Published on 09 Apr 2026 - 16:07

score 715 · Answer 6 · 2026-04-17 12:41:28

715

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What is the maximal ideal of $\mathbb{Q}[x,y]$ corresponding to $(\sqrt{2},\sqrt{2})$?

Published on 17 Apr 2026 - 12:41

score 286 · Answer 7 · 2026-04-13 12:29:41

286

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Help with a problem about Artinian rings from Christian Peskine's book

Published on 13 Apr 2026 - 12:29

score 404 · Answer 8 · 2026-04-12 18:35:21

404

Views

Support of a quasicoherent sheaf

Published on 12 Apr 2026 - 18:35

score 161 · Answer 9 · 2026-04-17 09:17:57

161

Views

How to prove this innocent looking isomorphism

Published on 17 Apr 2026 - 9:17

score 659 · Answer 10 · 2026-04-14 22:27:58

659

Views

Atiyah & Macdonald's Introduction to Commutative Algebra, Exercise 8.5

Published on 14 Apr 2026 - 22:27

score 135 · Answer 11 · 2026-04-16 08:07:02

135

Views

Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?

Published on 16 Apr 2026 - 8:07

score 590 · Answer 12 · 2026-04-11 00:12:37

590

Views

In arbitrary commutative rings, what is the accepted definition of "associates"?

Published on 11 Apr 2026 - 0:12

score 281 · Answer 13 · 2026-04-14 06:20:56

281

Views

If $A\ne 0$ is a square matrix over a commutative ring with $\det A=0$, then its null space contains an element whose components are minors of $A$

Published on 14 Apr 2026 - 6:20

score 569 · Answer 14 · 2026-04-12 03:38:47

569

Views

Localization and direct limit

Published on 12 Apr 2026 - 3:38

score 541 · Answer 15 · 2026-04-12 10:17:36

541

Views

The Zariski topology on $\operatorname{Spec} A$ as an intial topology

Published on 12 Apr 2026 - 10:17

List Question

Help with $\sqrt{I}$, where $I=(y^2,x+yz)$ in $\mathbb{C}[x,y,z]$

Krull dimension of $\mathbb{C}[x,y,z]/I$ where $I=(x^2-yz,xz-x)$.

Is $\mathbb{Z}[\sqrt{2} + \sqrt{3}]$ integrally closed?

Irreducible components in the spectrum of a ring

Localization does not commute canonically with infinite direct products

What is the maximal ideal of $\mathbb{Q}[x,y]$ corresponding to $(\sqrt{2},\sqrt{2})$?

Help with a problem about Artinian rings from Christian Peskine's book

Support of a quasicoherent sheaf

How to prove this innocent looking isomorphism

Atiyah & Macdonald's Introduction to Commutative Algebra, Exercise 8.5

Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?

In arbitrary commutative rings, what is the accepted definition of "associates"?

If $A\ne 0$ is a square matrix over a commutative ring with $\det A=0$, then its null space contains an element whose components are minors of $A$

Localization and direct limit

The Zariski topology on $\operatorname{Spec} A$ as an intial topology

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