Question

Bézout ring with non-trivial Picard group?

score 147 · Answer 1 · 2026-03-25 15:11:05

147

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Bézout ring with non-trivial Picard group?

Published on 25 Mar 2026 - 15:11

score 93 · Answer 2 · 2026-03-22 00:45:03

93

Views

Every finite generated module with finite free resolution is UFD

Published on 22 Mar 2026 - 0:45

score 33 · Answer 3 · 2026-04-13 19:07:28

33

Views

$f:Y\to X$ scheme morphism. $E\in QCoh(X),L$ line bundle over $Y$. If $f^\star(E)\to L$ surjective, then $f^\star(E)\to f^\star f_\star(L)$ surjective

Published on 13 Apr 2026 - 19:07

score 133 · Answer 4 · 2026-05-02 05:55:56

133

Views

On a special kind of local Gorenstein ring of dimension $2$

Published on 02 May 2026 - 5:55

score 178 · Answer 5 · 2026-04-12 01:10:03

178

Views

Classification of primary ideals of $\mathbb{Z}[X]/(f(X))$

Published on 12 Apr 2026 - 1:10

score 57 · Answer 6 · 2026-04-15 00:12:23

57

Views

Local Gorenstein ring and unique factorization domain

Published on 15 Apr 2026 - 0:12

score 45 · Answer 7 · 2026-04-11 02:39:18

45

Views

Integral closure of the subring $\mathbb Z(A)$ in $A$.

Published on 11 Apr 2026 - 2:39

score 1.2k · Answer 8 · 2026-04-08 22:31:48

1.2k

Views

Is there a local ring but not Noetherian?

Published on 08 Apr 2026 - 22:31

score 67 · Answer 9 · 2026-04-09 08:01:22

67

Views

Extending injections to the integral closures.

Published on 09 Apr 2026 - 8:01

score 341 · Answer 10 · 2026-04-15 12:58:09

341

Views

Algebra homomorphisms from real valued smooth functions to $\mathbb{R}$

Published on 15 Apr 2026 - 12:58

score 369 · Answer 11 · 2026-04-13 08:40:37

369

Views

Minimal prime ideals of the support of a module

Published on 13 Apr 2026 - 8:40

score 49 · Answer 12 · 2026-04-14 00:09:50

49

Views

A certain ideal of $k[x,y]$ containing $f(x) \in k[x], g(y) \in k[y]$.

Published on 14 Apr 2026 - 0:09

score 164 · Answer 13 · 2026-04-15 10:23:29

164

Views

Counterexample of $\text{Supp}(M)=\mathbb{V}(\text{Ann}(M))$

Published on 15 Apr 2026 - 10:23

score 65 · Answer 14 · 2026-04-13 23:58:37

65

Views

$\operatorname{Spec}(k[x,y]/(y^2-f(x))\to \operatorname{Spec}(k)$ canonical projection map is not proper when $y^2-f(x)$ cuts out non-singular curve?

Published on 13 Apr 2026 - 23:58

score 539 · Answer 15 · 2026-03-25 15:12:16

539

Views

A free module of infinite rank with bases of different cardinalities

Published on 25 Mar 2026 - 15:12

List Question

Bézout ring with non-trivial Picard group?

Every finite generated module with finite free resolution is UFD

$f:Y\to X$ scheme morphism. $E\in QCoh(X),L$ line bundle over $Y$. If $f^\star(E)\to L$ surjective, then $f^\star(E)\to f^\star f_\star(L)$ surjective

On a special kind of local Gorenstein ring of dimension $2$

Classification of primary ideals of $\mathbb{Z}[X]/(f(X))$

Local Gorenstein ring and unique factorization domain

Integral closure of the subring $\mathbb Z(A)$ in $A$.

Is there a local ring but not Noetherian?

Extending injections to the integral closures.

Algebra homomorphisms from real valued smooth functions to $\mathbb{R}$

Minimal prime ideals of the support of a module

A certain ideal of $k[x,y]$ containing $f(x) \in k[x], g(y) \in k[y]$.

Counterexample of $\text{Supp}(M)=\mathbb{V}(\text{Ann}(M))$

$\operatorname{Spec}(k[x,y]/(y^2-f(x))\to \operatorname{Spec}(k)$ canonical projection map is not proper when $y^2-f(x)$ cuts out non-singular curve?

A free module of infinite rank with bases of different cardinalities

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