Question

An equivalence condition for $\mathcal{I(V}(I)) = \sqrt{I}$ over real fields

score 131 · Answer 1 · 2022-05-14 10:19:54

131

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An equivalence condition for $\mathcal{I(V}(I)) = \sqrt{I}$ over real fields

Published on 14 May 2022 - 10:19

score 196 · Answer 2 · 2022-05-17 14:54:42

196

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Describe $\operatorname{Spec}(\mathbb{R}[x]/(x^n))$

Published on 17 May 2022 - 14:54

score 215 · Answer 3 · 2022-05-29 14:09:48

215

Views

Zariski topology of $\mathbb{C} \times \mathbb{C}$ is finer than the product topology of Zariski topologies on $\mathbb{C}$

Published on 29 May 2022 - 14:09

score 241 · Answer 4 · 2022-06-20 13:08:25

241

Views

Proof of Zariski lemma in Wikipedia

Published on 20 Jun 2022 - 13:08

score 118 · Answer 5 · 2022-07-07 19:37:19

118

Views

Is a closed subgroup of a linear algebraic group, again a linear algebraic group?

Published on 07 Jul 2022 - 19:37

score 59 · Answer 6 · 2022-07-10 16:24:11

59

Views

Does the Zariski-closure of an irreducible subgroup $G$, also act irreducible?

Published on 10 Jul 2022 - 16:24

score 283 · Answer 7 · 2022-07-10 23:39:45

283

Views

How to show irreducible closed subsets of Spec are vanishing sets of primes?

Published on 10 Jul 2022 - 23:39

score 151 · Answer 8 · 2022-07-16 16:54:37

151

Views

What do we gain by considering spectra?

Published on 16 Jul 2022 - 16:54

score 446 · Answer 9 · 2022-09-08 18:03:46

446

Views

Dense open subset of a topological space with strictly smaller dimension

Published on 08 Sep 2022 - 18:03

score 145 · Answer 10 · 2026-03-25 20:22:58

145

Views

Can I recover the Zariski open subobjects from the Grothendieck topology they generate?

Published on 25 Mar 2026 - 20:22

score 186 · Answer 11 · 2022-09-25 13:07:50

186

Views

Let $k$ be an algebraically closed field. Show that $\{(x,y)\in k^2\mid xy=0\}$ is closed and connected but not irreducible in $k^2$.

Published on 25 Sep 2022 - 13:07

score 335 · Answer 12 · 2022-09-28 13:29:25

335

Views

Understanding $\mathcal V(I)$, $\mathcal I(X)$, and their relationship to each other.

Published on 28 Sep 2022 - 13:29

score 270 · Answer 13 · 2022-10-01 17:58:53

270

Views

When is there a one to one correspondence between closed sets in the Zariski topology of the prime spectrum of a ring and radical ideals of that ring?

Published on 01 Oct 2022 - 17:58

score 139 · Answer 14 · 2022-10-04 18:20:33

139

Views

Dimension of affine varieties preserves for open subsets

Published on 04 Oct 2022 - 18:20

score 57 · Answer 15 · 2022-10-05 02:00:00

57

Views

Proving a set is algebraic.

Published on 05 Oct 2022 - 2:00

List Question

An equivalence condition for $\mathcal{I(V}(I)) = \sqrt{I}$ over real fields

Describe $\operatorname{Spec}(\mathbb{R}[x]/(x^n))$

Zariski topology of $\mathbb{C} \times \mathbb{C}$ is finer than the product topology of Zariski topologies on $\mathbb{C}$

Proof of Zariski lemma in Wikipedia

Is a closed subgroup of a linear algebraic group, again a linear algebraic group?

Does the Zariski-closure of an irreducible subgroup $G$, also act irreducible?

How to show irreducible closed subsets of Spec are vanishing sets of primes?

What do we gain by considering spectra?

Dense open subset of a topological space with strictly smaller dimension

Can I recover the Zariski open subobjects from the Grothendieck topology they generate?

Let $k$ be an algebraically closed field. Show that $\{(x,y)\in k^2\mid xy=0\}$ is closed and connected but not irreducible in $k^2$.

Understanding $\mathcal V(I)$, $\mathcal I(X)$, and their relationship to each other.

When is there a one to one correspondence between closed sets in the Zariski topology of the prime spectrum of a ring and radical ideals of that ring?

Dimension of affine varieties preserves for open subsets

Proving a set is algebraic.

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