Question

$x+ I \subset p_1 \cup \cdots \cup p_n$ then for some $i$, $x + I \subset p_i.$

score 226 · Answer 1 · 2026-03-29 18:51:06

226

Views

$x+ I \subset p_1 \cup \cdots \cup p_n$ then for some $i$, $x + I \subset p_i.$

Published on 29 Mar 2026 - 18:51

score 418 · Answer 2 · 2026-03-25 07:43:53

418

Views

Maximal ideals in tensor products of local ring extensions

Published on 25 Mar 2026 - 7:43

score 60 · Answer 3 · 2026-04-11 21:41:30

60

Views

Reduction of a $\mathbb{Z}$-algebra

Published on 11 Apr 2026 - 21:41

score 305 · Answer 4 · 2019-08-03 07:13:28

305

Views

Computing a canonical divisor

Published on 03 Aug 2019 - 7:13

score 214 · Answer 5 · 2026-03-25 09:38:12

214

Views

Pull back of twisted sheaf under a regular map associated to a base point free linear system

Published on 25 Mar 2026 - 9:38

score 190 · Answer 6 · 2026-04-11 14:00:00

190

Views

Prime ideals in R[x] having the same contraction in R

Published on 11 Apr 2026 - 14:00

score 309 · Answer 7 · 2026-04-11 16:22:12

309

Views

flatness & integral closure

Published on 11 Apr 2026 - 16:22

score 45 · Answer 8 · 2026-03-25 12:53:59

45

Views

Is $\mathbb{F}_p$ flat over $\mathbb{Z}[1/N]$ ($N\geq 5$, not divisible by $p$)?

Published on 25 Mar 2026 - 12:53

score 1k · Answer 9 · 2026-03-25 06:13:00

1k

Views

$V(I)$ consists of a finite set of points if and only $k[x_1,\ldots,x_n]/I$ has Krull dimension zero

Published on 25 Mar 2026 - 6:13

score 58 · Answer 10 · 2019-08-04 20:15:42

58

Views

A map of algebras inducing a bijection on maximal ideals is a bijection

Published on 04 Aug 2019 - 20:15

score 85 · Answer 11 · 2026-04-10 04:31:56

85

Views

Let $h:X\to Y$ a morphism of varieties. It is generally true that $h(X)$ is a subvariety of $Y$?

Published on 10 Apr 2026 - 4:31

score 58 · Answer 12 · 2026-04-11 11:32:31

58

Views

$\overline{h(X)}$, the closure of $h(X)$ in $Y$ is a variety whose coordinate ring is isomorphic to $A(Y)/\mathrm{rad}(I)$, where $I=\ker(h^*)$

Published on 11 Apr 2026 - 11:32

score 164 · Answer 13 · 2026-04-11 19:27:35

164

Views

Zero-dimensionality implies $\pi$- regularness

Published on 11 Apr 2026 - 19:27

score 109 · Answer 14 · 2019-08-05 05:42:03

109

Views

Nullstellensatz-type result for polynomial rings over infinite fields, which are not algebraically closed?

Published on 05 Aug 2019 - 5:42

score 1.1k · Answer 15 · 2026-04-09 03:52:51

1.1k

Views

Etale iff Completions are Isomorphic

Published on 09 Apr 2026 - 3:52

List Question

$x+ I \subset p_1 \cup \cdots \cup p_n$ then for some $i$, $x + I \subset p_i.$

Maximal ideals in tensor products of local ring extensions

Reduction of a $\mathbb{Z}$-algebra

Computing a canonical divisor

Pull back of twisted sheaf under a regular map associated to a base point free linear system

Prime ideals in R[x] having the same contraction in R

flatness & integral closure

Is $\mathbb{F}_p$ flat over $\mathbb{Z}[1/N]$ ($N\geq 5$, not divisible by $p$)?

$V(I)$ consists of a finite set of points if and only $k[x_1,\ldots,x_n]/I$ has Krull dimension zero

A map of algebras inducing a bijection on maximal ideals is a bijection

Let $h:X\to Y$ a morphism of varieties. It is generally true that $h(X)$ is a subvariety of $Y$?

$\overline{h(X)}$, the closure of $h(X)$ in $Y$ is a variety whose coordinate ring is isomorphic to $A(Y)/\mathrm{rad}(I)$, where $I=\ker(h^*)$

Zero-dimensionality implies $\pi$- regularness

Nullstellensatz-type result for polynomial rings over infinite fields, which are not algebraically closed?

Etale iff Completions are Isomorphic

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