Question

General method of finding dimension of a ring and determining regularity

score 46 · Answer 1 · 2026-03-25 06:04:12

46

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General method of finding dimension of a ring and determining regularity

Published on 25 Mar 2026 - 6:04

score 55 · Answer 2 · 2026-03-25 15:48:21

55

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Localization in power series

Published on 25 Mar 2026 - 15:48

score 39 · Answer 3 · 2026-03-25 06:06:22

39

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Dimension of $(A[[X]])_\mathfrak{m} \geq k+1$, regular ring, chain of prime ideals

Published on 25 Mar 2026 - 6:06

score 59 · Answer 4 · 2026-03-25 14:08:18

59

Views

In Lemma 10.53.5 of Stacks (about commutative Artinian rings), how did they use localisation?

Published on 25 Mar 2026 - 14:08

score 73 · Answer 5 · 2023-03-01 04:46:56

73

Views

Commuting operators vs. commutative rings, and localization in the quantum mechanical sense vs. commutative algebra sense.

Published on 01 Mar 2023 - 4:46

score 48 · Answer 6 · 2023-03-11 18:17:01

48

Views

How to show $(k[x,y,z]/(xz,yz))_z\cong k[z]_z$?

Published on 11 Mar 2023 - 18:17

score 49 · Answer 7 · 2026-02-23 10:05:13

49

Views

Assume $M^{\tau_n}$ is uniformly integrable. Is $X^{\tau_n}$ uniformly integrable?

Published on 23 Feb 2026 - 10:05

score 71 · Answer 8 · 2023-03-23 16:43:26

71

Views

Let $M_1, \dots, M_n$ be $A$-modules. Describe an isomorphism $S^{-1}(M_1 \times \dots \times M_n) \to S^{-1}(M_1) \times \dots \times S^{-1}(M_n).$

Published on 23 Mar 2023 - 16:43

score 75 · Answer 9 · 2023-04-13 18:35:14

Consider the ring $A = \mathbb{Z}/60\mathbb{Z}$ and the prime ideal $\mathfrak{p} = (2)$. Describe the localization $A_{\mathfrak{p}}.$

score 100 · Answer 10 · 2023-04-15 22:04:46

100

Views

Why is it that $(\mathbb{C}[x]/(x^2-x))_{x-1} \cong \mathbb{C}?$

Published on 15 Apr 2023 - 22:04

score 51 · Answer 11 · 2026-03-25 23:56:39

51

Views

Enveloping Algebra and localization on maximal ideal.

Published on 25 Mar 2026 - 23:56

score 99 · Answer 12 · 2023-04-22 10:52:23

99

Views

Extension and contraction of prime ideals by ring homomorphism

Published on 22 Apr 2023 - 10:52

score 35 · Answer 13 · 2023-04-26 03:44:47

35

Views

An exercise from Fulton related to localization.

Published on 26 Apr 2023 - 3:44

score 48 · Answer 14 · 2026-03-26 11:01:40

48

Views

How to derive this from the universal property of the ring of fractions?

Published on 26 Mar 2026 - 11:01

score 61 · Answer 15 · 2026-03-25 18:56:32

61

Views

Definition of $k$-rational points on an algebraic set

Published on 25 Mar 2026 - 18:56

List Question

General method of finding dimension of a ring and determining regularity

Localization in power series

Dimension of $(A[[X]])_\mathfrak{m} \geq k+1$, regular ring, chain of prime ideals

In Lemma 10.53.5 of Stacks (about commutative Artinian rings), how did they use localisation?

Commuting operators vs. commutative rings, and localization in the quantum mechanical sense vs. commutative algebra sense.

How to show $(k[x,y,z]/(xz,yz))_z\cong k[z]_z$?

Assume $M^{\tau_n}$ is uniformly integrable. Is $X^{\tau_n}$ uniformly integrable?

Let $M_1, \dots, M_n$ be $A$-modules. Describe an isomorphism $S^{-1}(M_1 \times \dots \times M_n) \to S^{-1}(M_1) \times \dots \times S^{-1}(M_n).$

Consider the ring $A = \mathbb{Z}/60\mathbb{Z}$ and the prime ideal $\mathfrak{p} = (2)$. Describe the localization $A_{\mathfrak{p}}.$

Why is it that $(\mathbb{C}[x]/(x^2-x))_{x-1} \cong \mathbb{C}?$

Enveloping Algebra and localization on maximal ideal.

Extension and contraction of prime ideals by ring homomorphism

An exercise from Fulton related to localization.

How to derive this from the universal property of the ring of fractions?

Definition of $k$-rational points on an algebraic set

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