Question

On the finiteness of certain Zariski closed subsets of the prime spectrum of commutative Noetherian local rings

score 36 · Answer 1 · 2023-12-25 01:40:40

36

Views

On the finiteness of certain Zariski closed subsets of the prime spectrum of commutative Noetherian local rings

Published on 25 Dec 2023 - 1:40

score 115 · Answer 2 · 2023-12-31 12:40:45

115

Views

A unital commutative ring having a square-zero maximal ideal is local

Published on 31 Dec 2023 - 12:40

score 29 · Answer 3 · 2023-12-31 17:38:05

29

Views

If $f\in \mathcal{O}_X(U)$ does not vanish in $U$ then it is a unit in $\mathcal{O}_X(U)$

Published on 31 Dec 2023 - 17:38

score 80 · Answer 4 · 2024-01-04 08:28:57

80

Views

Show that $A[T]/(P(T))$ is a local flat A-algebra where $(A,\mathfrak{m},k)$ is a local ring with $k[T]/(\tilde{P}(T))$ is a simple extension of $k$

Published on 04 Jan 2024 - 8:28

score 88 · Answer 5 · 2026-03-25 07:44:03

88

Views

Finitely generated torsion-free indecomposable modules over one-dimensional complete local domains are isomorphic to ideal?

Published on 25 Mar 2026 - 7:44

score 80 · Answer 6 · 2024-01-07 04:33:02

80

Views

Free module over local ring $R$.

Published on 07 Jan 2024 - 4:33

score 87 · Answer 7 · 2026-02-23 01:25:39

87

Views

A boolean ring which is local must be isomorphic to $\Bbb{F}_2$.

Published on 23 Feb 2026 - 1:25

score 78 · Answer 8 · 2024-01-20 09:07:04

78

Views

Quotients of local rings

Published on 20 Jan 2024 - 9:07

score 50 · Answer 9 · 2024-01-24 17:40:34

50

Views

Dominating rings: $\mathfrak{m}_A=A\cap \mathfrak{m}_B\Longleftrightarrow \mathfrak{m}_A\subset \mathfrak{m}_B$

Published on 24 Jan 2024 - 17:40

score 63 · Answer 10 · 2024-01-25 13:42:09

63

Views

Algebraic properties of the ring of analytic functions on the complex plane

Published on 25 Jan 2024 - 13:42

score 39 · Answer 11 · 2026-03-25 14:36:46

39

Views

How to understand a situation where one can use Nakayama's lemma even when the situation is not Tailor-made.

Published on 25 Mar 2026 - 14:36

score 84 · Answer 12 · 2024-03-10 05:50:35

84

Views

Is $(I(R:_{Q(R)} I))^n$ generated by $(fI)^n$ as $f$ varies over $(R:_{Q(R)} I)$?

Published on 10 Mar 2024 - 5:50

score 33 · Answer 13 · 2024-03-10 15:15:18

33

Views

How to compute a minimal spanning set and the minimal spanning number of $\Bbb C[x,y]_{(x-1,y-1)}/(x^3-y^2)$?

Published on 10 Mar 2024 - 15:15

score 51 · Answer 14 · 2024-03-12 23:20:15

51

Views

Finiteness of the intersection multiplicity of plane algebraic curves

Published on 12 Mar 2024 - 23:20

score 44 · Answer 15 · 2024-03-16 14:41:49

44

Views

Possible inequality of krull dimension of local injection of Noetherian local domains

Published on 16 Mar 2024 - 14:41

List Question

On the finiteness of certain Zariski closed subsets of the prime spectrum of commutative Noetherian local rings

A unital commutative ring having a square-zero maximal ideal is local

If $f\in \mathcal{O}_X(U)$ does not vanish in $U$ then it is a unit in $\mathcal{O}_X(U)$

Show that $A[T]/(P(T))$ is a local flat A-algebra where $(A,\mathfrak{m},k)$ is a local ring with $k[T]/(\tilde{P}(T))$ is a simple extension of $k$

Finitely generated torsion-free indecomposable modules over one-dimensional complete local domains are isomorphic to ideal?

Free module over local ring $R$.

A boolean ring which is local must be isomorphic to $\Bbb{F}_2$.

Quotients of local rings

Dominating rings: $\mathfrak{m}_A=A\cap \mathfrak{m}_B\Longleftrightarrow \mathfrak{m}_A\subset \mathfrak{m}_B$

Algebraic properties of the ring of analytic functions on the complex plane

How to understand a situation where one can use Nakayama's lemma even when the situation is not Tailor-made.

Is $(I(R:_{Q(R)} I))^n$ generated by $(fI)^n$ as $f$ varies over $(R:_{Q(R)} I)$?

How to compute a minimal spanning set and the minimal spanning number of $\Bbb C[x,y]_{(x-1,y-1)}/(x^3-y^2)$?

Finiteness of the intersection multiplicity of plane algebraic curves

Possible inequality of krull dimension of local injection of Noetherian local domains

Trending Questions

Popular # Hahtags

Popular Questions